What is 27/93 Divided By 7/8

Solving $\frac{27}{93}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{93} \div \frac{7}{8} = \frac{27}{93} \times \frac{8}{7}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $93 \times 7 = 651$
• Form the New Fraction: $\frac{27}{93} \times \frac{7}{8} = \frac{216}{651}$

Let's Simplify $\frac{216}{651}$

• Find the Greatest Common Divisor (GCD) of $216$ and $651$. The GCD of $216$ and $651$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 3}{651 \div 3} = \frac{72}{217}$

Answer $\frac{27}{93}\div\frac{7}{8} = \frac{72}{217}$

The following animation demonstrates the divide-by,