What is 22/66 Divided By 7/8

Solving $\frac{22}{66}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{66} \div \frac{7}{8} = \frac{22}{66} \times \frac{8}{7}$

• Multiply the Numerators: $22 \times 8 = 176$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{22}{66} \times \frac{7}{8} = \frac{176}{462}$

Let's Simplify $\frac{176}{462}$

• Find the Greatest Common Divisor (GCD) of $176$ and $462$. The GCD of $176$ and $462$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 22}{462 \div 22} = \frac{8}{21}$

Answer $\frac{22}{66}\div\frac{7}{8} = \frac{8}{21}$

The following animation demonstrates the divide-by,