What is 35/91 Divided By 9/5

Solving $\frac{35}{91}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{91} \div \frac{9}{5} = \frac{35}{91} \times \frac{5}{9}$

• Multiply the Numerators: $35 \times 5 = 175$
• Multiply the Denominators: $91 \times 9 = 819$
• Form the New Fraction: $\frac{35}{91} \times \frac{9}{5} = \frac{175}{819}$

Let's Simplify $\frac{175}{819}$

• Find the Greatest Common Divisor (GCD) of $175$ and $819$. The GCD of $175$ and $819$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{175 \div 7}{819 \div 7} = \frac{25}{117}$

Answer $\frac{35}{91}\div\frac{9}{5} = \frac{25}{117}$

The following animation demonstrates the divide-by,