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24 January, 10:40

Add or subtract. Express simplest form 1 2/5 - (-1 2/15

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  1. 24 January, 13:59
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    Its 2 8/15 Conversion a mixed number 1 2

    5

    to a improper fraction: 1 2/5 = 1 2

    5

    = 1 · 5 + 2

    5

    = 5 + 2

    5

    = 7

    5

    To find new numerator:

    a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5

    5

    = 5

    5

    b) Add the answer from previous step 5 to the numerator 2. New numerator is 5 + 2 = 7

    c) Write previous answer (new numerator 7) over the denominator 5.

    One and two fifths is seven fifths

    Conversion a mixed number - 1 2

    15

    to a improper fraction: - 1 2/15 = - 1 2

    15

    = - 1 · 15 + (-2)

    15

    = - 15 + (-2)

    15

    = - 17

    15

    To find new numerator:

    a) Multiply the whole number - 1 by the denominator 15. Whole number - 1 equally - 1 * 15

    15

    = - 15

    15

    b) Add the answer from previous step - 15 to the numerator 2. New numerator is - 15 + 2 = - 13

    c) Write previous answer (new numerator - 13) over the denominator 15.

    Minus one and two fifteenths is minus thirteen fifteenth

    Subtract: 7

    5

    - (-17

    15

    ) = 7 · 3

    5 · 3

    - (-17)

    15

    = 21

    15

    - (-17

    15

    ) = 21 - (-17)

    15

    = 38

    15

    The common denominator you can calculate as the least common multiple of the both denominators - LCM (5, 15) = 15. The fraction result cannot be further simplified by cancelling.

    In words - seven fifths minus minus seventeen fifteenth = thirty-eight fifteenths.
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