## Fraction calculator

This calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

## Result:

### 3 *2/3 = 2 / 1 =2

Spelled result in words is two.

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

1. Multiple: 3 *

2
/
3

=

3 · 2
/
1 · 3

=

6
/
3

=

2 · 3
/
1 · 3

=
2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 3) = 3. In the following intermediate step, cancel by a common factor of 3 gives

2
/
1
.

In other words – three multiplied by two thirds is two.

#### 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.

### Math Symbols

Symbol Symbol name Symbol Meaning Example
+ plus sign addition 1/2 + 1/3
adv minim 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)
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The calculator follows well-known rules for
the kiriman 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:

• In fractions An ant climbs 2/5 of the pole on the first hour and climbs 1/4 of the pole on the next hour. What part of the pole does the ant climb in two hours?
• Denominator 2 Denominator of a fraction is 5 and numerator is 7. Write the fraction .
• 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 simplest form, what fraction of students eat lunch in the cafeteria?
• Max has 2 Max has 13 pairs of socks. of them 6 pairs are blue, 3 pairs are brown, 2 pairs are black, and 2 pairs are white. What fraction of Max’s socks are either brown or black?
• A quarter A quarter of the number 72 is:
• Fraction to decimal Write the fraction 3/22 as a decimal.
• Someone Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake that is left, how much of a whole cake will you have eaten?
• Babies There are two adults, two children, and four babies on a bus. What fraction of the people are babies?
• Children 9 There are 11 children in a room. 6 of the children are girls. What fraction of the children are girls?
• Value of Z For x = -9, what is the value of Z, where Z equals fraction numerator x minus 17 adv lewat denominator 6.5 end fraction Give your answer to 2 decimal places. 