What is 46/75 Divided By 4/7

Solving $\frac{46}{75}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{4}{7} = \frac{46}{75} \times \frac{7}{4}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{46}{75} \times \frac{4}{7} = \frac{322}{300}$

Let's Simplify $\frac{322}{300}$

• Find the Greatest Common Divisor (GCD) of $322$ and $300$. The GCD of $322$ and $300$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 2}{300 \div 2} = \frac{161}{150}$

Answer $\frac{46}{75}\div\frac{4}{7} = \frac{161}{150}$

The following animation demonstrates the divide-by,