What is 22/74 Divided By 5/8

Solving $\frac{22}{74}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{74} \div \frac{5}{8} = \frac{22}{74} \times \frac{8}{5}$

• Multiply the Numerators: $22 \times 8 = 176$
• Multiply the Denominators: $74 \times 5 = 370$
• Form the New Fraction: $\frac{22}{74} \times \frac{5}{8} = \frac{176}{370}$

Let's Simplify $\frac{176}{370}$

• Find the Greatest Common Divisor (GCD) of $176$ and $370$. The GCD of $176$ and $370$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 2}{370 \div 2} = \frac{88}{185}$

Answer $\frac{22}{74}\div\frac{5}{8} = \frac{88}{185}$

The following animation demonstrates the divide-by,