What is 46/76 Divided By 9/6

Solving $\frac{46}{76}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{76} \div \frac{9}{6} = \frac{46}{76} \times \frac{6}{9}$

• Multiply the Numerators: $46 \times 6 = 276$
• Multiply the Denominators: $76 \times 9 = 684$
• Form the New Fraction: $\frac{46}{76} \times \frac{9}{6} = \frac{276}{684}$

Let's Simplify $\frac{276}{684}$

• Find the Greatest Common Divisor (GCD) of $276$ and $684$. The GCD of $276$ and $684$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{276 \div 12}{684 \div 12} = \frac{23}{57}$

Answer $\frac{46}{76}\div\frac{9}{6} = \frac{23}{57}$

The following animation demonstrates the divide-by,