Multiplication and Division of a Whole Number by a Fraction

# Multiplication and Division of a Whole Number by a Fraction

• Multiplication by Whole Numbers of
• Proper Fractions
• Improper Fractions
• Mixed Fractions
• Division of Fractions by Whole Numbers
• Summary
• What’s Next?

In the previous segment, we learnt how to convert a mixed fraction to an improper fraction. In this segment, we will learn how to multiply and divide fractions by whole numbers

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## How to multiply fractions by whole numbers?

Let us understand this with the help of a few examples.

## Proper fraction multiplied by whole number

If a is a proper fraction and ‘n’ is a whole number then,

b

a × n = a×n

b b

For example,

1 × 2 = 1×2 = 2

4 4 4

## Improper fraction multiplied by whole number

The method remains the same as for proper fractions. For example,

5 × 3 = 5×3 = 15

4 4 4

## Mixed fraction multiplied by whole number

To multiply a mixed fraction with a whole number, the mixed fraction is converted to an improper fraction. The rest of the method remains the same as mentioned above.

For example,

2 5 × 3 =

7

19 × 3 = 57

7 7

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