What is 46/76 Divided By 5/7

Solving $\frac{46}{76}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{76} \div \frac{5}{7} = \frac{46}{76} \times \frac{7}{5}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{46}{76} \times \frac{5}{7} = \frac{322}{380}$

Let's Simplify $\frac{322}{380}$

• Find the Greatest Common Divisor (GCD) of $322$ and $380$. The GCD of $322$ and $380$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 2}{380 \div 2} = \frac{161}{190}$

Answer $\frac{46}{76}\div\frac{5}{7} = \frac{161}{190}$

The following animation demonstrates the divide-by,