What is 17/35 Divided By 8/7

Solving $\frac{17}{35}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{17}{35} \div \frac{8}{7} = \frac{17}{35} \times \frac{7}{8}$

• Multiply the Numerators: $17 \times 7 = 119$
• Multiply the Denominators: $35 \times 8 = 280$
• Form the New Fraction: $\frac{17}{35} \times \frac{8}{7} = \frac{119}{280}$

Let's Simplify $\frac{119}{280}$

• Find the Greatest Common Divisor (GCD) of $119$ and $280$. The GCD of $119$ and $280$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{119 \div 7}{280 \div 7} = \frac{17}{40}$

Answer $\frac{17}{35}\div\frac{8}{7} = \frac{17}{40}$

The following animation demonstrates the divide-by,