What is 42/72 Divided By 7/3

Solving $\frac{42}{72}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{72} \div \frac{7}{3} = \frac{42}{72} \times \frac{3}{7}$

• Multiply the Numerators: $42 \times 3 = 126$
• Multiply the Denominators: $72 \times 7 = 504$
• Form the New Fraction: $\frac{42}{72} \times \frac{7}{3} = \frac{126}{504}$

Let's Simplify $\frac{126}{504}$

• Find the Greatest Common Divisor (GCD) of $126$ and $504$. The GCD of $126$ and $504$ is $126$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 126}{504 \div 126} = \frac{1}{4}$

Answer $\frac{42}{72}\div\frac{7}{3} = \frac{1}{4}$

The following animation demonstrates the divide-by,