What is 46/12 Divided By 7/9

Solving $\frac{46}{12}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{12} \div \frac{7}{9} = \frac{46}{12} \times \frac{9}{7}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $12 \times 7 = 84$
• Form the New Fraction: $\frac{46}{12} \times \frac{7}{9} = \frac{414}{84}$

Let's Simplify $\frac{414}{84}$

• Find the Greatest Common Divisor (GCD) of $414$ and $84$. The GCD of $414$ and $84$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 6}{84 \div 6} = \frac{69}{14}$

Answer $\frac{46}{12}\div\frac{7}{9} = \frac{69}{14}$

The following animation demonstrates the divide-by,