## Fraction calculator

This calculator subtracts two fractions. When fractions have different denominators, firstly convert all fractions to common denominator. Find Least Common Denominator (LCD) or simple multiply all denominators to find common denominator. When all denominators are same, simply subtract the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.

## The result:

### 7/8 –1/2 = 3 / 8 =0.375

Spelled result in words is three eighths.

### How do we solve fractions step by step?

1. Subtract:

7
/
8

1
/
2

=

7
/
8

1 · 4
/
2 · 4

=

7
/
8

4
/
8

=

7 – 4
/
8

=

3
/
8

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators – LCM(8, 2) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 2 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words – seven eighths minus one half is three eighths.

#### Rules for expressions with fractions:

Fractions
– use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter
5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals
(mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e.,
1 2/3
. An example of a negative mixed fraction:
-5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e.,
1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point
.
and they are automatically converted to fractions – i.e.
1.45.

Read:   What is Half of 7 8

### Math Symbols

Symbol Symbol name Symbol Meaning Example
+ plus sign addition 1/2 + 1/3
minus sign subtraction 1 1/2 – 2/3
* asterisk multiplication 2/3 * 3/4
× times sign multiplication 2/3 × 5/6
: division sign division 1/2 : 3
/ division slash division 1/3 / 5
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside first -3/5 – (-1/4)

The calculator follows well-known rules for
the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS
– Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS
– Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS
– Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS
– Grouping Symbols – brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS
– Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do
multiplication and division
before
addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.

## Fractions in word problems:

• A class IV.A

In a class, there are 15 girls and 30 boys.  What fraction of the class represents the boys?
• One Saturday

One Saturday evening there are 40 girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
• Max has 2

Max has 13 pairs of socks. From this, six pairs are blue, three pairs are brown, two are black, and two are white. What fraction of Max’s socks are either brown or black?
• Using money

Out of 550,000.00 given to a school, an amount of 325,000.00 was used. What fraction of the total amount was used?
• Zdeněk

Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk’s water he picked.
• Lowest terms 2

We can write the expression 4/12 in its lowest term as 1/3. What is 3/15 expressed in its lowest term?
• The parsley

Milka’s grandmother planted 12 rows of vegetables. 1/6 of the rows are carrots. The rest is parsley. How many rows are planted with parsley?
• Andy gets

Andy gets five out of 15 questions wrong in his math test. What fraction of the question does andy answer correctly?
• Evaluate expression

Calculate the value of the expression z/3 – 2 z/9 + 1/6, for z = 2
• Babies

There are two adults, two children, and four babies on a bus. What fraction of the people are babies?
• In the cafeteria

There are 18 students in Jacob’s homeroom. Six students bring their lunch to school. The rest eat lunch in the cafeteria. In the simplest form, what fraction of students eat lunch in the cafeteria?
Read:   A Scuba Diver Used the Expression

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