What is 70/17 Divided By 7/4

Solving $\frac{70}{17}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{70}{17} \div \frac{7}{4} = \frac{70}{17} \times \frac{4}{7}$

• Multiply the Numerators: $70 \times 4 = 280$
• Multiply the Denominators: $17 \times 7 = 119$
• Form the New Fraction: $\frac{70}{17} \times \frac{7}{4} = \frac{280}{119}$

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

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

Answer $\frac{70}{17}\div\frac{7}{4} = \frac{40}{17}$

The following animation demonstrates the divide-by,