What is 66/22 Divided By 5/7

Solving $\frac{66}{22}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{22} \div \frac{5}{7} = \frac{66}{22} \times \frac{7}{5}$

• Multiply the Numerators: $66 \times 7 = 462$
• Multiply the Denominators: $22 \times 5 = 110$
• Form the New Fraction: $\frac{66}{22} \times \frac{5}{7} = \frac{462}{110}$

Let's Simplify $\frac{462}{110}$

• Find the Greatest Common Divisor (GCD) of $462$ and $110$. The GCD of $462$ and $110$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{462 \div 22}{110 \div 22} = \frac{21}{5}$

Answer $\frac{66}{22}\div\frac{5}{7} = \frac{21}{5}$

The following animation demonstrates the divide-by,