What is 42/52 Divided By 7/5

Solving $\frac{42}{52}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{52} \div \frac{7}{5} = \frac{42}{52} \times \frac{5}{7}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{42}{52} \times \frac{7}{5} = \frac{210}{364}$

Let's Simplify $\frac{210}{364}$

• Find the Greatest Common Divisor (GCD) of $210$ and $364$. The GCD of $210$ and $364$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 14}{364 \div 14} = \frac{15}{26}$

Answer $\frac{42}{52}\div\frac{7}{5} = \frac{15}{26}$

The following animation demonstrates the divide-by,