# Calculator fractions multiple

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

### 2/3 * 3/5 = 2/5 = 0.4

Spelled result in words is two fifths.### How do you solve fractions step by step?

- Multiple: 2/3 * 3/5 = 2 · 3/3 · 5 = 6/15 = 2 · 3/5 · 3 = 2/5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 15) = 3. In the next intermediate step , cancel by a common factor of 3 gives 2/5.

In words - two thirds multiplied by three fifths = two fifths.

#### Rules for expressions with fractions:

**Fractions**- use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter

**5/100**. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

**Mixed numerals**(mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e.,

**1 2/3**(having the same sign). An example of a negative mixed fraction:

**-5 1/2**.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e.,

**1/2 : 3**.

Decimals (decimal numbers) enter with a decimal point

**.**and they are automatically converted to fractions - i.e.

**1.45**.

The colon

**:**and slash

**/**is the symbol of division. Can be used to divide mixed numbers

**1 2/3 : 4 3/8**or can be used for write complex fractions i.e.

**1/2 : 1/3**.

An asterisk

*****or

**×**is the symbol for multiplication.

Plus

**+**is addition, minus sign

**-**is subtraction and

**()[]**is mathematical parentheses.

The exponentiation/power symbol is

**^**- for example:

**(7/8-4/5)^2**= (7/8-4/5)

^{2}

The calculator follows well-known rules for

**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.

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:

- Equivalent fractions

Are these two fractions equivalent -4/9 and 11/15? - Fractions 3

Calculate 1/9 of 27: - Compare

Compare fractions ?. Which fraction of the lower? - Write 3

Write a real world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 then solve the problem - Cake fractions

Thomas ate 1/3 of cake, Bohouš of the rest of the cake ate 2/5. What fraction of cake left over for others? - Two divided

Two divided by nine tenths. - Milimeters

How many millimeters is 1/4 meters? - Pie

Vili ate three pieces of pie . If it piece is 1/8 how much pie did he eat? - Seeds

Of the 72 wet seeds 7/8 germinated. How many seeds germinate? - Classroom 4

In a class of 36 pupils, 2/3 are girls. How much it is in a class girls and boys? - Women

In an company of 1050 employees are 2/3 women. How many women work in the company? - Employees

Of all 360 employees, there are 11/12 women. How many men work in a company? - Mixed with percentages

Calculate 33 1/3% of 570.

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