What is 46/93 Divided By 4/7

Solving $\frac{46}{93}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{93} \div \frac{4}{7} = \frac{46}{93} \times \frac{7}{4}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $93 \times 4 = 372$
• Form the New Fraction: $\frac{46}{93} \times \frac{4}{7} = \frac{322}{372}$

Let's Simplify $\frac{322}{372}$

• Find the Greatest Common Divisor (GCD) of $322$ and $372$. The GCD of $322$ and $372$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 2}{372 \div 2} = \frac{161}{186}$

Answer $\frac{46}{93}\div\frac{4}{7} = \frac{161}{186}$

The following animation demonstrates the divide-by,