What is 72/42 Divided By 7/8

Solving $\frac{72}{42}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{42} \div \frac{7}{8} = \frac{72}{42} \times \frac{8}{7}$

• Multiply the Numerators: $72 \times 8 = 576$
• Multiply the Denominators: $42 \times 7 = 294$
• Form the New Fraction: $\frac{72}{42} \times \frac{7}{8} = \frac{576}{294}$

Let's Simplify $\frac{576}{294}$

• Find the Greatest Common Divisor (GCD) of $576$ and $294$. The GCD of $576$ and $294$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{576 \div 6}{294 \div 6} = \frac{96}{49}$

Answer $\frac{72}{42}\div\frac{7}{8} = \frac{96}{49}$

The following animation demonstrates the divide-by,