What is 42/45 Divided By 4/6

Solving $\frac{42}{45}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{45} \div \frac{4}{6} = \frac{42}{45} \times \frac{6}{4}$

• Multiply the Numerators: $42 \times 6 = 252$
• Multiply the Denominators: $45 \times 4 = 180$
• Form the New Fraction: $\frac{42}{45} \times \frac{4}{6} = \frac{252}{180}$

Let's Simplify $\frac{252}{180}$

• Find the Greatest Common Divisor (GCD) of $252$ and $180$. The GCD of $252$ and $180$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 36}{180 \div 36} = \frac{7}{5}$

Answer $\frac{42}{45}\div\frac{4}{6} = \frac{7}{5}$

The following animation demonstrates the divide-by,