What is 35/91 Divided By 9/8

Solving $\frac{35}{91}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{91} \div \frac{9}{8} = \frac{35}{91} \times \frac{8}{9}$

• Multiply the Numerators: $35 \times 8 = 280$
• Multiply the Denominators: $91 \times 9 = 819$
• Form the New Fraction: $\frac{35}{91} \times \frac{9}{8} = \frac{280}{819}$

Let's Simplify $\frac{280}{819}$

• Find the Greatest Common Divisor (GCD) of $280$ and $819$. The GCD of $280$ and $819$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{280 \div 7}{819 \div 7} = \frac{40}{117}$

Answer $\frac{35}{91}\div\frac{9}{8} = \frac{40}{117}$

The following animation demonstrates the divide-by,