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.

## The result:

### 1/3 * 2 = 2 / 3 ≅ 0.6666667

Spelled result in words is two thirds.

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

1. Multiple:

1
/
3

* 2 =

1 · 2
/
3 · 1

=

2
/
3

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(2, 3) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words – one third multiplied by two is two thirds.

#### 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.

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### 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:

• Fraction to decimal Write the fraction 3/22 as a decimal.
• 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?
• Babies There are two adults, two children, and four babies on a bus. What fraction of the people are babies? If there are 7 apples and 5 oranges in the basket, then what fraction of oranges are there in the fruit basket?
• A class IV.A In a class, there are 15 girls and 30 boys.  What fraction of the class represents the boys?
• A farm 6 A farm has 20 animals. There are four chickens. What fraction of the animals are chickens? Express your answer as a fraction in the simplest form.
• 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?
• One Saturday One Saturday evening there are 40 girls, 25 boys, 18 women and 17 men at a cinema. What fraction are girls?
• Someone Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole cake will you have eaten?
• Mathew Mathew has eight pencils. Three of them do not have erasers on end. What fraction of the pencils do not have erasers on end?
• Andy gets Andy gets five out of 15 questions wrong in his math test. What fraction of the question does andy answer correctly?
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