By what number should-5/4 be multiplied to get the product as 7/12

Question

Delilah · Answer

5/14 * x = 7/12, and we want to find x. So, get x by itself. Multiply both sides by -14/5. That leaves x alone on the left, and the following on the right:

=7/12 * -14/5 (reduce down before multiplying)

=7/6 * -7/5 (multiply straight across, numerator by numerator, denominator by denominator)

=-49/30

-5/14 should be multiplied by -49/30 to make 7/12

(Check)

-5/14 * -49/30 =? 7/12 (reduce down on left where you can)

-1/14 * -49/6 (reduce still)

-1/2 * -7/6 (negative by a negative, so take them out)

1/2 * 7/6 = 7/12 (answer checks)

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Reply

Charlotte · Answer

Step-by-step explanation:   -5/14 * x = 7/12, and we want to find x. So, get x by itself. Multiply both sides by -14/5. That leaves x alone on the left, and the following on the right:    =7/12 * -14/5 (reduce down before multiplying)    =7/6 * -7/5 (multiply straight across, numerator by numerator, denominator by denominator)    =-49/30    -5/14 should be multiplied by -49/30 to make 7/12    (Check)    -5/14 * -49/30 =? 7/12 (reduce down on left where you can)    -1/14 * -49/6 (reduce still)    -1/2 * -7/6 (negative by a negative, so take them out)    1/2 * 7/6 = 7/12 (answer checks)

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