What is 27/50 Divided By 7/8

Solving $\frac{27}{50}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{50} \div \frac{7}{8} = \frac{27}{50} \times \frac{8}{7}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $50 \times 7 = 350$
• Form the New Fraction: $\frac{27}{50} \times \frac{7}{8} = \frac{216}{350}$

Let's Simplify $\frac{216}{350}$

• Find the Greatest Common Divisor (GCD) of $216$ and $350$. The GCD of $216$ and $350$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 2}{350 \div 2} = \frac{108}{175}$

Answer $\frac{27}{50}\div\frac{7}{8} = \frac{108}{175}$

The following animation demonstrates the divide-by,