What is 46/75 Divided By 4/8

Solving $\frac{46}{75}\div\frac{4}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{4}{8} = \frac{46}{75} \times \frac{8}{4}$

• Multiply the Numerators: $46 \times 8 = 368$
• Multiply the Denominators: $75 \times 4 = 300$
• Form the New Fraction: $\frac{46}{75} \times \frac{4}{8} = \frac{368}{300}$

Let's Simplify $\frac{368}{300}$

• Find the Greatest Common Divisor (GCD) of $368$ and $300$. The GCD of $368$ and $300$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{368 \div 4}{300 \div 4} = \frac{92}{75}$

Answer $\frac{46}{75}\div\frac{4}{8} = \frac{92}{75}$

The following animation demonstrates the divide-by,