What is 42/72 Divided By 3/6

Solving $\frac{42}{72}\div\frac{3}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{72} \div \frac{3}{6} = \frac{42}{72} \times \frac{6}{3}$

• Multiply the Numerators: $42 \times 6 = 252$
• Multiply the Denominators: $72 \times 3 = 216$
• Form the New Fraction: $\frac{42}{72} \times \frac{3}{6} = \frac{252}{216}$

Let's Simplify $\frac{252}{216}$

• Find the Greatest Common Divisor (GCD) of $252$ and $216$. The GCD of $252$ and $216$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 36}{216 \div 36} = \frac{7}{6}$

Answer $\frac{42}{72}\div\frac{3}{6} = \frac{7}{6}$

The following animation demonstrates the divide-by,