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. \[ -\frac{7}{8}\left(\frac{8}{21}\right) \]
failed

Solution

failed
failed

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

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

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
-5/8 + -1/25 =
failedAnswered
- One day on Venus is 243 Earth days. - It takes Venus 225 Earth days to revolve once around the sun. Which takes the greatest amount of time? The time it takes Venus to revolve once around the sun The time it takes Earth to revolve once around the sun The time it takes Venus to rotate once about its own axis The time it takes Earth to rotate once about its own axis
failedAnswered
After emptying the drainage from a Jackson-Pratt drain, which action will the nurse prioritize to re-establish suction to the drain? Fully compress the bulb and reapply the cap. Reapply the cap and fully compress the bulb. Turn the suction back on at the wall unit. This type of drain does not use suction.
failedAnswered
The narrator's actions reveal that..
failedAnswered
Find parametric equations for the tangent line at the point (cos(5/6 pi), sin(5/6 pi), 5/6 pi) on the curve x=cos t, y=sin t, z=t x(t)= y(t)= z(t)= (Your line should be parametrized so that it passes through the given point at t=0 ).