What is 42/89 Divided By 7/5

Solving $\frac{42}{89}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{89} \div \frac{7}{5} = \frac{42}{89} \times \frac{5}{7}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $89 \times 7 = 623$
• Form the New Fraction: $\frac{42}{89} \times \frac{7}{5} = \frac{210}{623}$

Let's Simplify $\frac{210}{623}$

• Find the Greatest Common Divisor (GCD) of $210$ and $623$. The GCD of $210$ and $623$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 7}{623 \div 7} = \frac{30}{89}$

Answer $\frac{42}{89}\div\frac{7}{5} = \frac{30}{89}$

The following animation demonstrates the divide-by,