What is 26/17 Divided By 4/7

Solving $\frac{26}{17}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{17} \div \frac{4}{7} = \frac{26}{17} \times \frac{7}{4}$

• Multiply the Numerators: $26 \times 7 = 182$
• Multiply the Denominators: $17 \times 4 = 68$
• Form the New Fraction: $\frac{26}{17} \times \frac{4}{7} = \frac{182}{68}$

Let's Simplify $\frac{182}{68}$

• Find the Greatest Common Divisor (GCD) of $182$ and $68$. The GCD of $182$ and $68$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{182 \div 2}{68 \div 2} = \frac{91}{34}$

Answer $\frac{26}{17}\div\frac{4}{7} = \frac{91}{34}$

The following animation demonstrates the divide-by,