What is 46/57 Divided By 7/9

Solving $\frac{46}{57}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{57} \div \frac{7}{9} = \frac{46}{57} \times \frac{9}{7}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $57 \times 7 = 399$
• Form the New Fraction: $\frac{46}{57} \times \frac{7}{9} = \frac{414}{399}$

Let's Simplify $\frac{414}{399}$

• Find the Greatest Common Divisor (GCD) of $414$ and $399$. The GCD of $414$ and $399$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 3}{399 \div 3} = \frac{138}{133}$

Answer $\frac{46}{57}\div\frac{7}{9} = \frac{138}{133}$

The following animation demonstrates the divide-by,