MathsFractionsMultiplication and Division of a Whole Number by a Fraction

Multiplication and Division of a Whole Number by a Fraction

Table of Contents

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    • 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

    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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