What is 42/45 Divided By 5/8

Solving $\frac{42}{45}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{45} \div \frac{5}{8} = \frac{42}{45} \times \frac{8}{5}$

• Multiply the Numerators: $42 \times 8 = 336$
• Multiply the Denominators: $45 \times 5 = 225$
• Form the New Fraction: $\frac{42}{45} \times \frac{5}{8} = \frac{336}{225}$

Let's Simplify $\frac{336}{225}$

• Find the Greatest Common Divisor (GCD) of $336$ and $225$. The GCD of $336$ and $225$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{336 \div 3}{225 \div 3} = \frac{112}{75}$

Answer $\frac{42}{45}\div\frac{5}{8} = \frac{112}{75}$

The following animation demonstrates the divide-by,