What is 18/17 Divided By 3/7

Solving $\frac{18}{17}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{17} \div \frac{3}{7} = \frac{18}{17} \times \frac{7}{3}$

• Multiply the Numerators: $18 \times 7 = 126$
• Multiply the Denominators: $17 \times 3 = 51$
• Form the New Fraction: $\frac{18}{17} \times \frac{3}{7} = \frac{126}{51}$

Let's Simplify $\frac{126}{51}$

• Find the Greatest Common Divisor (GCD) of $126$ and $51$. The GCD of $126$ and $51$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{126 \div 3}{51 \div 3} = \frac{42}{17}$

Answer $\frac{18}{17}\div\frac{3}{7} = \frac{42}{17}$

The following animation demonstrates the divide-by,