What is 46/75 Divided By 8/7

Solving $\frac{46}{75}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{8}{7} = \frac{46}{75} \times \frac{7}{8}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{46}{75} \times \frac{8}{7} = \frac{322}{600}$

Let's Simplify $\frac{322}{600}$

• Find the Greatest Common Divisor (GCD) of $322$ and $600$. The GCD of $322$ and $600$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 2}{600 \div 2} = \frac{161}{300}$

Answer $\frac{46}{75}\div\frac{8}{7} = \frac{161}{300}$

The following animation demonstrates the divide-by,