What is 75/98 Divided By 8/6

Solving $\frac{75}{98}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{98} \div \frac{8}{6} = \frac{75}{98} \times \frac{6}{8}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $98 \times 8 = 784$
• Form the New Fraction: $\frac{75}{98} \times \frac{8}{6} = \frac{450}{784}$

Let's Simplify $\frac{450}{784}$

• Find the Greatest Common Divisor (GCD) of $450$ and $784$. The GCD of $450$ and $784$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 2}{784 \div 2} = \frac{225}{392}$

Answer $\frac{75}{98}\div\frac{8}{6} = \frac{225}{392}$

The following animation demonstrates the divide-by,