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# Dividing Fractions by Whole Numbers

The order of operations is the set of rules that defines the order in which calculations must be carried out in a mathematical expression. The order of operations is important because it determines how calculations are performed, which can affect the result.

• The Standard Order of Operations
• Parentheses
• Exponents
• Multiplication and Division
• Order of Operations Solved Examples
• Order of Operations Practice Problems
• FAQs

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## Steps to Divide Fractions by Whole Number

The idea of reciprocal should be understood to divide fractions by whole numbers. Follow the instructions below to divide fractions by whole numbers:

Step 1 :  Write the division fact as the dividend divisor, where the dividend is the supplied fraction and the divisor is the given whole number.

Step 2: Write the reciprocal of the divisor (the whole number) and change the division sign to a multiplication symbol.

Step 3: Multiply the numerator by the numerator and the denominator by the denominator to find the product. That will be the necessary response.

As an illustration, divide 1/9 by 7.

Step 1: 1/9 ÷ 7

Step 2: 1/91/7 (Reciprocal of Divisor 7 is 1/7)

Step 3: 1/9 × 1/7= 1/63

Therefore, 1/97= 63

Standard Expression for Dividing Fractions by Whole Numbers

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## Order of Operations FAQS

#### Solve ⅖ 2

Solution : Step 1 : Multiply the bottom number of the fraction by whole number

252 = 2/10

Step 2 :  Simplify the fraction

2/10 =  ⅕

#### What is 4/7 8?

1. ⅞                                b) 1/14                            c) 8/4                d)7/32

#### What is 5/9 10?

1. a) 9/50                                 b) 18                         c) 1/9                  d) 1/18

#### What is ⅗ 6?

1. 1/10                             b) 5/18                          c) 30                       d) 20/5

#### What is 8/9 4?

1. 9/32                                 b) 32/8                          c) 2/9                       d) 36/8

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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