What is 81/27 Divided By 8/7

Solving $\frac{81}{27}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{81}{27} \div \frac{8}{7} = \frac{81}{27} \times \frac{7}{8}$

• Multiply the Numerators: $81 \times 7 = 567$
• Multiply the Denominators: $27 \times 8 = 216$
• Form the New Fraction: $\frac{81}{27} \times \frac{8}{7} = \frac{567}{216}$

Let's Simplify $\frac{567}{216}$

• Find the Greatest Common Divisor (GCD) of $567$ and $216$. The GCD of $567$ and $216$ is $27$.
• Divide both the numerator and the denominator by the GCD:$\frac{567 \div 27}{216 \div 27} = \frac{21}{8}$

Answer $\frac{81}{27}\div\frac{8}{7} = \frac{21}{8}$

The following animation demonstrates the divide-by,