What is 42/52 Divided By 6/5

Solving $\frac{42}{52}\div\frac{6}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{52} \div \frac{6}{5} = \frac{42}{52} \times \frac{5}{6}$

• Multiply the Numerators: $42 \times 5 = 210$
• Multiply the Denominators: $52 \times 6 = 312$
• Form the New Fraction: $\frac{42}{52} \times \frac{6}{5} = \frac{210}{312}$

Let's Simplify $\frac{210}{312}$

• Find the Greatest Common Divisor (GCD) of $210$ and $312$. The GCD of $210$ and $312$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{210 \div 6}{312 \div 6} = \frac{35}{52}$

Answer $\frac{42}{52}\div\frac{6}{5} = \frac{35}{52}$

The following animation demonstrates the divide-by,