What is 42/83 Divided By 7/5

Solving $\frac{42}{83}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{83} \div \frac{7}{5} = \frac{42}{83} \times \frac{5}{7}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $83 \times 7 = 581$
• Form the New Fraction: $\frac{42}{83} \times \frac{7}{5} = \frac{210}{581}$

Let's Simplify $\frac{210}{581}$

• Find the Greatest Common Divisor (GCD) of $210$ and $581$. The GCD of $210$ and $581$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 7}{581 \div 7} = \frac{30}{83}$

Answer $\frac{42}{83}\div\frac{7}{5} = \frac{30}{83}$

The following animation demonstrates the divide-by,