What is 35/74 Divided By 7/5

Solving $\frac{35}{74}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{74} \div \frac{7}{5} = \frac{35}{74} \times \frac{5}{7}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $74 \times 7 = 518$
• Form the New Fraction: $\frac{35}{74} \times \frac{7}{5} = \frac{175}{518}$

Let's Simplify $\frac{175}{518}$

• Find the Greatest Common Divisor (GCD) of $175$ and $518$. The GCD of $175$ and $518$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{175 \div 7}{518 \div 7} = \frac{25}{74}$

Answer $\frac{35}{74}\div\frac{7}{5} = \frac{25}{74}$

The following animation demonstrates the divide-by,