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31 August, 08:00

Write equivalent fractions for 2/7 and 5/12 using the least common denominator

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  1. 31 August, 10:24
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    24/84 and 35/84

    Step-by-step explanation:

    Equivalent Fractions

    Two fractions are equivalent if they name the same number. 2/5 and 4/10 are equivalent. We can compute fractions who are equivalent to a given fraction if we multiply or divide both numerator and denominator by the same number. In the previous example, 4/10 is equivalent to 2/5 because both parts are twice the first.

    We are asked to find equivalent fractions for 2/7 and 5/12 using the least common denominator. We must find the least common number between 7 and 12. Since they are relatively prime numbers, the least common factor is their product, i. e. 7*12=84.

    To find the equivalent fraction for 2/7, we multiply by 12 up and down to get 24/84

    To find the equivalent fraction for 5/12, we multiply by 7 to get 35/84
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