What is 75/46 Divided By 7/8

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,