Questions: Multiply. Write your answer in lowest terms. -7/8(8/21)

Multiply. Write your answer in lowest terms. -7/8(8/21)
Transcript text: Multiply. Write your answer in lowest terms. \[ -\frac{7}{8}\left(\frac{8}{21}\right) \]
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Solution

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Solution Steps

To multiply fractions, multiply the numerators together and the denominators together. Then, simplify the resulting fraction to its lowest terms by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by this number.

Step 1: Multiply the Numerators and Denominators

To multiply the fractions \(-\frac{7}{8}\) and \(\frac{8}{21}\), multiply the numerators and the denominators:

\[ \text{Numerator: } -7 \times 8 = -56 \] \[ \text{Denominator: } 8 \times 21 = 168 \]

Step 2: Simplify the Fraction

To simplify the fraction \(-\frac{56}{168}\), find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 56 and 168 is 56.

Divide both the numerator and the denominator by their GCD:

\[ \text{Simplified Numerator: } \frac{-56}{56} = -1 \] \[ \text{Simplified Denominator: } \frac{168}{56} = 3 \]

Final Answer

\(\boxed{-\frac{1}{3}}\)

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