What is 42/70 Divided By 7/8

Solving $\frac{42}{70}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{70} \div \frac{7}{8} = \frac{42}{70} \times \frac{8}{7}$

• Multiply the Numerators: $42 \times 8 = 336$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{42}{70} \times \frac{7}{8} = \frac{336}{490}$

Let's Simplify $\frac{336}{490}$

• Find the Greatest Common Divisor (GCD) of $336$ and $490$. The GCD of $336$ and $490$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{336 \div 14}{490 \div 14} = \frac{24}{35}$

Answer $\frac{42}{70}\div\frac{7}{8} = \frac{24}{35}$

The following animation demonstrates the divide-by,