What is 66/88 Divided By 8/7

Solving $\frac{66}{88}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{88} \div \frac{8}{7} = \frac{66}{88} \times \frac{7}{8}$

• Multiply the Numerators: $66 \times 7 = 462$
• Multiply the Denominators: $88 \times 8 = 704$
• Form the New Fraction: $\frac{66}{88} \times \frac{8}{7} = \frac{462}{704}$

Let's Simplify $\frac{462}{704}$

• Find the Greatest Common Divisor (GCD) of $462$ and $704$. The GCD of $462$ and $704$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{462 \div 22}{704 \div 22} = \frac{21}{32}$

Answer $\frac{66}{88}\div\frac{8}{7} = \frac{21}{32}$

The following animation demonstrates the divide-by,