What is 22/74 Divided By 8/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $22 \times 5 = 110$
• Multiply the Denominators: $74 \times 8 = 592$
• Form the New Fraction: $\frac{22}{74} \times \frac{8}{5} = \frac{110}{592}$

Let's Simplify $\frac{110}{592}$

• Find the Greatest Common Divisor (GCD) of $110$ and $592$. The GCD of $110$ and $592$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{110 \div 2}{592 \div 2} = \frac{55}{296}$

Answer $\frac{22}{74}\div\frac{8}{5} = \frac{55}{296}$

The following animation demonstrates the divide-by,