What is 42/57 Divided By 8/5

Solving $\frac{42}{57}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{57} \div \frac{8}{5} = \frac{42}{57} \times \frac{5}{8}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $57 \times 8 = 456$
• Form the New Fraction: $\frac{42}{57} \times \frac{8}{5} = \frac{210}{456}$

Let's Simplify $\frac{210}{456}$

• Find the Greatest Common Divisor (GCD) of $210$ and $456$. The GCD of $210$ and $456$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 6}{456 \div 6} = \frac{35}{76}$

Answer $\frac{42}{57}\div\frac{8}{5} = \frac{35}{76}$

The following animation demonstrates the divide-by,