What is 52/19 Divided By 6/7

Solving $\frac{52}{19}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{52}{19} \div \frac{6}{7} = \frac{52}{19} \times \frac{7}{6}$

• Multiply the Numerators: $52 \times 7 = 364$
• Multiply the Denominators: $19 \times 6 = 114$
• Form the New Fraction: $\frac{52}{19} \times \frac{6}{7} = \frac{364}{114}$

Let's Simplify $\frac{364}{114}$

• Find the Greatest Common Divisor (GCD) of $364$ and $114$. The GCD of $364$ and $114$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{364 \div 2}{114 \div 2} = \frac{182}{57}$

Answer $\frac{52}{19}\div\frac{6}{7} = \frac{182}{57}$

The following animation demonstrates the divide-by,