What is 27/39 Divided By 7/8

Solving $\frac{27}{39}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{27}{39} \div \frac{7}{8} = \frac{27}{39} \times \frac{8}{7}$

• Multiply the Numerators: $27 \times 8 = 216$
• Multiply the Denominators: $39 \times 7 = 273$
• Form the New Fraction: $\frac{27}{39} \times \frac{7}{8} = \frac{216}{273}$

Let's Simplify $\frac{216}{273}$

• Find the Greatest Common Divisor (GCD) of $216$ and $273$. The GCD of $216$ and $273$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{216 \div 3}{273 \div 3} = \frac{72}{91}$

Answer $\frac{27}{39}\div\frac{7}{8} = \frac{72}{91}$

The following animation demonstrates the divide-by,