What is 42/53 Divided By 7/6

Solving $\frac{42}{53}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{53} \div \frac{7}{6} = \frac{42}{53} \times \frac{6}{7}$

• Multiply the Numerators: $42 \times 6 = 252$
• Multiply the Denominators: $53 \times 7 = 371$
• Form the New Fraction: $\frac{42}{53} \times \frac{7}{6} = \frac{252}{371}$

Let's Simplify $\frac{252}{371}$

• Find the Greatest Common Divisor (GCD) of $252$ and $371$. The GCD of $252$ and $371$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 7}{371 \div 7} = \frac{36}{53}$

Answer $\frac{42}{53}\div\frac{7}{6} = \frac{36}{53}$

The following animation demonstrates the divide-by,