MathsFractionsAddition of Mixed Fractions – 1

Addition of Mixed Fractions – 1

Table of Contents

  • Addition of Mixed Fractions
    • Mixed Fractions with Like Fractional Parts
    • Mixed Fractions with Unlike Fractional Parts
  • Summary
  • What’s Next?

In the previous segment of Class 6 Maths, we discussed how to add and subtract fractions.

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    Here let us learn about how to add mixed fractions.

    How to add mixed fractions?

    When the fractional parts of both mixed fractions are like fractions

    To add mixed fractions with like fractional parts, say 4 2

    7

    ??? 6 4

    7

    ,we will use the following steps:

    Step 1: Add the whole part of both the fractions.

    Here, the whole part of 4 2 is 4 and the whole part of 6 4 is 6. So, the addition of 4 and

    7 7

    6 is 10.

    Step 2: Add the fractional part of both the fractions.

    Here, the fractional part of

    4 2 ?? 2 ??? ?ℎ? ?????????? ???? ?? 6 4

    4 2 4 2 4

    ?? . ??, ?ℎ? ???????? ?? ??? ?? + =

    7 7 7 7 7 7 7 7

    2+4 = 6.

    7 7

    Step 3: Using the result of step 1 as the whole part and the result of step 2 as the fractional part, form a mixed fraction. This mixed fraction is the sum of the given mixed fractions.

    Thus, 10 is the whole part and 4 6 is the fractional part. So, the result of

    7

    4 2 + 6 4

    7 7

    6

    ?? 10

    7

    When the fractional parts of both mixed fractions are unlike fractions

    To add mixed fractions with like fractional parts, say 4 2 ??? 6 1

    ,

    5 3

    we will use the following steps:

    Step 1: Add the whole part of both the fractions.

    Here, the whole part of 4 2 is 4 and the whole part of 6 1 is 6. So, the addition of 4 and 6

    5 3

    is 10.

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