What is 42/45 Divided By 8/5

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $45 \times 8 = 360$
• Form the New Fraction: $\frac{42}{45} \times \frac{8}{5} = \frac{210}{360}$

Let's Simplify $\frac{210}{360}$

• Find the Greatest Common Divisor (GCD) of $210$ and $360$. The GCD of $210$ and $360$ is $30$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 30}{360 \div 30} = \frac{7}{12}$

Answer $\frac{42}{45}\div\frac{8}{5} = \frac{7}{12}$

The following animation demonstrates the divide-by,