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QuestionFind three fractions equal to −712\frac{-7}{12}. Match the numerator for □72\frac{\square}{72}.

Studdy Solution

STEP 1

Assumptions1. The original fraction is −712\frac{-7}{12} . We are looking for equivalent fractions, which means the fractions should have the same value as the original fraction but with different numerators and denominators.

STEP 2

We know that equivalent fractions can be found by multiplying or dividing both the numerator and the denominator of the original fraction by the same number.In the first example, we can see that the denominator24 is twice the original denominator12. So, we multiply the original numerator -7 by2 to get the new numerator.
−712=−7×212×2\frac{-7}{12} = \frac{-7 \times2}{12 \times2}

STEP 3

Now, plug in the values and calculate the new numerator.
−712=−7×212×2=−1424\frac{-7}{12} = \frac{-7 \times2}{12 \times2} = \frac{-14}{24}

STEP 4

For the second fraction, the denominator72 is six times the original denominator12. So, we multiply the original numerator -7 by6 to get the new numerator.
−712=−7×612×6\frac{-7}{12} = \frac{-7 \times6}{12 \times6}

STEP 5

Now, plug in the values and calculate the new numerator.
−712=−7×12×=−4272\frac{-7}{12} = \frac{-7 \times}{12 \times} = \frac{-42}{72}So, the correct numerator to match the new denominator72 is -42.

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