What is 42/72 Divided By 8/5

Solving $\frac{42}{72}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{72} \div \frac{8}{5} = \frac{42}{72} \times \frac{5}{8}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $72 \times 8 = 576$
• Form the New Fraction: $\frac{42}{72} \times \frac{8}{5} = \frac{210}{576}$

Let's Simplify $\frac{210}{576}$

• Find the Greatest Common Divisor (GCD) of $210$ and $576$. The GCD of $210$ and $576$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 6}{576 \div 6} = \frac{35}{96}$

Answer $\frac{42}{72}\div\frac{8}{5} = \frac{35}{96}$

The following animation demonstrates the divide-by,