What is 35/98 Divided By 8/9

Solving $\frac{35}{98}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{98} \div \frac{8}{9} = \frac{35}{98} \times \frac{9}{8}$

• Multiply the Numerators: $35 \times 9 = 315$
• Multiply the Denominators: $98 \times 8 = 784$
• Form the New Fraction: $\frac{35}{98} \times \frac{8}{9} = \frac{315}{784}$

Let's Simplify $\frac{315}{784}$

• Find the Greatest Common Divisor (GCD) of $315$ and $784$. The GCD of $315$ and $784$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{315 \div 7}{784 \div 7} = \frac{45}{112}$

Answer $\frac{35}{98}\div\frac{8}{9} = \frac{45}{112}$

The following animation demonstrates the divide-by,