What is 98/76 Divided By 6/4

Solving $\frac{98}{76}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{76} \div \frac{6}{4} = \frac{98}{76} \times \frac{4}{6}$

• Multiply the Numerators: $98 \times 4 = 392$
• Multiply the Denominators: $76 \times 6 = 456$
• Form the New Fraction: $\frac{98}{76} \times \frac{6}{4} = \frac{392}{456}$

Let's Simplify $\frac{392}{456}$

• Find the Greatest Common Divisor (GCD) of $392$ and $456$. The GCD of $392$ and $456$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{392 \div 8}{456 \div 8} = \frac{49}{57}$

Answer $\frac{98}{76}\div\frac{6}{4} = \frac{49}{57}$

The following animation demonstrates the divide-by,