What is 46/17 Divided By 6/7

Solving $\frac{46}{17}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{17} \div \frac{6}{7} = \frac{46}{17} \times \frac{7}{6}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $17 \times 6 = 102$
• Form the New Fraction: $\frac{46}{17} \times \frac{6}{7} = \frac{322}{102}$

Let's Simplify $\frac{322}{102}$

• Find the Greatest Common Divisor (GCD) of $322$ and $102$. The GCD of $322$ and $102$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 2}{102 \div 2} = \frac{161}{51}$

Answer $\frac{46}{17}\div\frac{6}{7} = \frac{161}{51}$

The following animation demonstrates the divide-by,