What is 46/98 Divided By 7/9

Solving $\frac{46}{98}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{98} \div \frac{7}{9} = \frac{46}{98} \times \frac{9}{7}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $98 \times 7 = 686$
• Form the New Fraction: $\frac{46}{98} \times \frac{7}{9} = \frac{414}{686}$

Let's Simplify $\frac{414}{686}$

• Find the Greatest Common Divisor (GCD) of $414$ and $686$. The GCD of $414$ and $686$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 2}{686 \div 2} = \frac{207}{343}$

Answer $\frac{46}{98}\div\frac{7}{9} = \frac{207}{343}$

The following animation demonstrates the divide-by,