What is 98/72 Divided By 3/4

Solving $\frac{98}{72}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{72} \div \frac{3}{4} = \frac{98}{72} \times \frac{4}{3}$

• Multiply the Numerators: $98 \times 4 = 392$
• Multiply the Denominators: $72 \times 3 = 216$
• Form the New Fraction: $\frac{98}{72} \times \frac{3}{4} = \frac{392}{216}$

Let's Simplify $\frac{392}{216}$

• Find the Greatest Common Divisor (GCD) of $392$ and $216$. The GCD of $392$ and $216$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{392 \div 8}{216 \div 8} = \frac{49}{27}$

Answer $\frac{98}{72}\div\frac{3}{4} = \frac{49}{27}$

The following animation demonstrates the divide-by,