What is 70/76 Divided By 7/5

Solving $\frac{70}{76}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{76} \div \frac{7}{5} = \frac{70}{76} \times \frac{5}{7}$

• Multiply the Numerators: $70 \times 5 = 350$
• Multiply the Denominators: $76 \times 7 = 532$
• Form the New Fraction: $\frac{70}{76} \times \frac{7}{5} = \frac{350}{532}$

Let's Simplify $\frac{350}{532}$

• Find the Greatest Common Divisor (GCD) of $350$ and $532$. The GCD of $350$ and $532$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{350 \div 14}{532 \div 14} = \frac{25}{38}$

Answer $\frac{70}{76}\div\frac{7}{5} = \frac{25}{38}$

The following animation demonstrates the divide-by,