What is 42/60 Divided By 7/8

Solving $\frac{42}{60}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{60} \div \frac{7}{8} = \frac{42}{60} \times \frac{8}{7}$

• Multiply the Numerators: $42 \times 8 = 336$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{42}{60} \times \frac{7}{8} = \frac{336}{420}$

Let's Simplify $\frac{336}{420}$

• Find the Greatest Common Divisor (GCD) of $336$ and $420$. The GCD of $336$ and $420$ is $84$.
• Divide both the numerator and the denominator by the GCD:$\frac{336 \div 84}{420 \div 84} = \frac{4}{5}$

Answer $\frac{42}{60}\div\frac{7}{8} = \frac{4}{5}$

The following animation demonstrates the divide-by,