EstateName.com – 3 8 of 40
Mark, a math enthusiast, loves writing tutorials for stumped students and those who need to brush up on their math skills.
Whether you’re a student doing homework, a chef working on a recipe, a wedding planner trying to lay out a budget, or just an average person strolling through life, chances are you’ll eventually need to figure out a fraction of a number. In this article, we’ll define a few simple terms, learn how to find any fraction of any number, and explore some example problems for practice. Ready? Let’s do it!
Important Terms

Fraction:
A fraction is a portion of a whole. Think of it in terms of pizza—if there are 10 slices total in a pizza pie, and you’ve had three pieces, that means you’ve eaten 3/10 (three tenths) of the pie. The fraction 3/10 represents the portion of the whole pizza you’ve eaten. 
Numerator:
In a fraction, the numerator is the number on top of (or before) the line. In the example above, 3 is the numerator of the fraction 3/10. 
Denominator:
In a fraction, the denominator is the number below (or after) the line. In the example above, 10 is the denominator of the fraction 3/10.
How to Find a Fraction of a Number
To work out a fraction of a number, all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction.
For instance, if we wanted to find out what 3/8 of 24 is, we would divide 24 by 8 (the denominator of the fraction).
24 ÷ 8 = 3
We would now multiply this result by 1 (the numerator of the fraction).
3 x 3 = 9
So, 3/8 of 24 is
9.
Video Demonstration
Example Problems
Remember—to work out a fraction of a number, all you need to do is divide that number by the denominator of the fraction and then multiply the result by the numerator of the fraction. Let’s do some example problems for practice.
Example 1:
Work out 3/8 of 48
First, divide 48 by the denominator:
48 ÷ 8 = 6 (this is 1/8 of 48)
Now, multiply this result by the numerator:
6 × 3 = 18 (this is 3/8 of 48)
Scroll to Continue
Read More From Owlcation
So, 3/8 of 48 is
18.
Example
2:
Work out 2/9 of 36
First, divide 36 by the denominator:
36 ÷ 9 = 4 (this is 1/9 of 36)
Now, multiply this result by the numerator:
4 × 2 = 8 (this is 2/9 of 36)
So, 2/9 of 36 is
8.
Example 3:
Work out 4/5 of 60
First, divide 60 by the denominator:
60 ÷ 5 = 12 (this is 1/5 of 60)
Now, multiply this result by the numerator:
12 × 4 = 48 (this is 4/5 of 60)
So, 4/5 of 60 is
48.
Example 4:
Work out 5/11 of 77
First, divide 77 by the denominator:
77 ÷ 11 = 7 (this is 1/11 of 77)
Now, multiply this result by the numerator:
7 × 5 = 35 (this gives 5/11 of 77)
So, 5/11 of 77 is
35.
Example 5: Word Problem
A fuel tank holds 14 gallons of fuel when full. If the tank has 3/7 of fuel left in the tank, work out how many gallons of fuel are left.
Here, you need to calculate 3/7 of 14 gallons
First, divide 14 by the denominator:
14 ÷ 7 = 2 (this is 1/7 of 14)
Now, multiply this result by the numerator:
2 × 3 = 6 (this is 3/7 of 14)
So, there are
6
gallons of fuel left in the tank.
This content is accurate and true to the best of the author’s knowledge and is not meant to substitute for formal and individualized advice from a qualified professional.
Questions & Answers
Question:
12 is 3/4 of what number?
Answer:
You need to divide by the top and multiply by the bottom.
12 divided by 3 is 4, and 4 times 4 is 16.
Question:
What part of 5 3/5 is 7/10?
Answer:
You will need to divide 7/10 by 5 3/5.
Convert 5 3/5 into an improper fraction which is 28/5
Now work out 7/10 divide by 28/5 which is the same as 7/10 times.
The answer is 1/8.
Question:
What is 1/8 of an hour?
Answer:
60 divided by 8 is 7.5, so 7.5 minutes.
Question:
What is 2/3 of 7?
Answer:
7 divided by 3 is 2.333… and 2.333 times 2 is 4.666… (or 4.7 to 1 decimal place).
Question:
What is 5/12 of 72?
Answer:
72 divided by 12 is 6, and 6 times 5 is 30.
Question:
What is 3/8 of 128 ?
Answer:
Use the rule “divide by the bottom and times by the top”
128 divided by 8 gives 16.
16 multiplied by 3 gives 48.
Question:
Can you work out 6/9 of 18?
Answer:
18 divided by 9 is 2, and 2 times 6 is 12.
Follow the rule divide by the bottom and times by the top.
Question:
What is 5/4 of 7/5?
Answer:
Its easier in this case to just multiply the fractions together to give 35/20 which simplifies to 7/4.
Question:
What is 4/5 of 420?
Answer:
Apply the rule divide by the bottom and times by the top.
420 divided by 5 is 84, and 84 times 4 is 336.
Question:
What is 5/6 of 90?
Answer:
“Divide by the bottom and times by the top”
90 divided by 6 is 15, and 15 times 5 is 75.
Question:
What is 3/8 off 40?
Answer:
First work out 3/8 of 40 by doing 40 divided by 8 to give 5, and 5 times 3 is 15.
Now subtract 15 from 40 to give 25.
Question:
What is 1/5 of 240?
Answer:
To work out 1/5 of any number divide the number by 5.
So 240 divided by 5 is 48.
Question:
What is 4/11 of 66?
Answer:
Use the method divide by the bottom and times by the top.
66 divided by 11 is 6, and 6 times 4 is 24.
Question:
There are 70 employees. 42 of the employees are nonsmokers. What fraction are nonsmokers? Give your answer in its simplest form.
Answer:
Put 42 on the numerator and 70 on the denominator of the fraction to give 42/70.
Since 42 and 70 are both multiples of 7, divide 42 and 70 to give 6/10.
6 and 10 are both multiples of 2, so divide by 2 to give 3/5.
Question:
5/9 of 72?
Answer:
72 divided by 9 is 8, and 8 times 5 is 40.
Question:
How many times is 1.5 in 210?
Answer:
Just divide 210 by 1.5 to give 140.
Question:
What is 1 1/4 of 96?
Answer:
Convert 1 1/4 to an improper fraction to give 5/4.
Now work out 5/4 of 96.
96 divided by 4 is 24, and 24 times 5 is 120.
Question:
24 is 3/5 of what number?
Answer:
Divide 24 by 3 to give 8, and 8 times 5 is 40.
Question:
A tablet of medication consists of two substances in the ratio of 8 to 6. If the tablet contains 140 milligrams of medication how much of each substance is in the tablet?
Answer:
Add 8 and 6 together to give 14.
Now divide 140 by 14 to give 10.
Now multiply 10 by 8 and 6 to give 80mg and 60mg.
Question:
What’s 8 divided by 1/3?
Answer:
You just need to multiply 8 by 3 to give 24.
Question:
What is 3/14 add 3/8?
Answer:
First make common denominators so the two fractions can be added together.
Multipliy the first fraction by 4 to give 12/56, and the second fraction by 7 to give 21/56.
Now add these fractions together to give 33/56.
Question:
What is 1/3 of 72?
Answer:
Divide 72 by 3 to give 24, as 1/3 means divide by 3.
Question:
What is 1/4 of 1640?
Answer:
To find one quarter of a number divide the number by 4.
So 1640 divided by 4 is 410.
Question:
What is 1/6 of 160?
Answer:
Apply the rule divide by the bottom and times by the top.
160 divided by 6 is 26.7 rounded to 1 decimal place.
Question:
What is 1/7 of 3.50?
Answer:
Just divide 3.50 by 7 as 1/7 means divide by 7. This will give an anwer of 0.5.
Question:
What is 1/9 of 96?
Answer:
To work out one ninth of a number divide the number by 9.
So 96 divided by 9 gives 10.7 (rounded to 1 decimal place).
Question:
What is 4/7 of 14?
Answer:
Follow the rule, “divide by the bottom and times by the top”.
So 14 divided by 7 = 2, and 2 multiplied by 4 = 8.
Question:
What is 4/7 more than 63?
Answer:
You need to use the rule “divide by the bottom and times by the top”. 63 divided by 7 = 9, and 9 multiplied by 4 is 36. Finally add the 36 on to the 63 to give 99.
Question:
What is 1/8 of 6?
Answer:
To find 1/8 divide the number by 8.
6 divided by 8 gives 0.75.
Question:
What is 1/8 of 14?
Answer:
1/8 of a number can be found by dividing the number by 8.
So 14 divided by 8 gives 1.75.
Question:
How do you figure out what is 5/8 of 4/5?
Answer:
You can still use the rule divide by the bottom and times by the top even if your amount is a fraction.
Divide 4/5 by 8 to give 1/10, now multiply 1/10 by 5 to give 1/2.
Question:
What is 5/7 of 100?
Answer:
Divide 100 by 7 to get 14.28. 14.28 multiplied by 5 is 71.4, rounded to 1 decimal place.
Question:
What is 1/5 of 7?
Answer:
1/5 of a number can be found by dividing the number of 5.
Therefore, 7 divided by 5 gives 1.4
Question:
What is 3/6 of 248?
Answer:
Its probably easier to cancel 3/6 down to 1/2, so you need to work out one half of 248.
So 248 divided by 2 gives 124.
Question:
8% of 60 is 1/5 of what number?
Answer:
First work out 8% of 60 which is 4.8.
So one fifth of something is 4.8.
Since 1/5 means divide by 5, multiply 4.8 by 5 to find the missing number.
The asnwer will be 24.
Question:
What is 1/5 of 8?
Answer:
To work out 1/5 divide the number by 5.
8 divided by 5 is 1.6.
Question:
What is 1/9 of 12?
Answer:
To find 1/9 of a number divide the number by 9.
12 divided by 9 is 4/3 or 1.3 recurring.
Question:
What is 5/8 of 40 ?
Answer:
40 divided by 8 is 5, and 5 multiplied by 5 is 25.
Question:
If 1/9 is 49 what is the number?
Answer:
Just multiply 49 by 9 to give 441.
Question:
What is 9/13 of 182?
Answer:
Divide 182 by 13 to give 14, then multiply 14 by 9 to give 126.
Question:
What is 1/7 0f 15000?
Answer:
To work out 1/7 of a number divide the number by 7.
So 15000 divided by 7 gives 2142.86 rounded to decimal places.
Question:
What is 6/8 of 40?
Answer:
40 divided by 8 is 5, and 5 multiplied by 6 is 30.
Question:
Can you work out 3/12 of 48?
Answer:
Follow the rule divide by the denominator and multiply by the numerator.
48 divided by 12 gives 4, and 4 multiplied 3 gives 12.
Question:
Orla spent onequarter of her money on a tshirt, and 3 eighths on a jumper. What fraction of her money had she left?
Answer:
She spent 5/8 on clothes if you add the two fractions together, so 3/8 are left over.
Question:
What is 4/5 of 30?
Answer:
First work out 1/5 of the number by dividing by 5, so 30 divided by 5 is 6.
Now work out 4/5 by mutiplying the answer by 4, so 6 multiplied by 4 gives 24.
Question:
What is 4/5 of 12?
Answer:
Follow the rule divide by the bottom and multiply by the top.
12 divided by 5 is 2.4, and 2.4 times 4 is 9.6.
Question:
2/3 of a number is 24. What is 5/9 of the number?
Answer:
First divide 24 by to to give 12, and multiply 12 by 3 to give 36.
Now find 5/9 of 36, by dividing 36 by 9 to give 4, and multiplying 4 by 5 to give 20.
Question:
How do you calculate 1/7 x 4?
Answer:
4 can be written as a fraction as 4/1.
Now, multiply the two fractions together 1/7 times 4/1 = 4/7.
Question:
Is 3/14 less than 6/7?
Answer:
Multiply the numerator and denominator of 6/7 to give 12/14, so 3/14 is less than 6/7.
Question:
What is 7/10 – 2/3?
Answer:
First make the denominators the same by putting 30 on the bottom of both fractions.
S0 7/10 = 21/30, and 2/3 = 20/30
Now 21/30 – 20/30 is 1/30.
© 2011 Mark
Offenderman
on April 22, 2018:
Rose? Anyone?
bum face
on February 21, 2013:
Thanks this helped!!! Xxxxxx
3 8 of 40
Sumber: https://owlcation.com/stem/Howtoworkoutafractionofanumberfractionsofnumbershelp