What is 46/70 Divided By 8/7

Solving $\frac{46}{70}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{70} \div \frac{8}{7} = \frac{46}{70} \times \frac{7}{8}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $70 \times 8 = 560$
• Form the New Fraction: $\frac{46}{70} \times \frac{8}{7} = \frac{322}{560}$

Let's Simplify $\frac{322}{560}$

• Find the Greatest Common Divisor (GCD) of $322$ and $560$. The GCD of $322$ and $560$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 14}{560 \div 14} = \frac{23}{40}$

Answer $\frac{46}{70}\div\frac{8}{7} = \frac{23}{40}$

The following animation demonstrates the divide-by,