What is 98/91 Divided By 9/4

Solving $\frac{98}{91}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{91} \div \frac{9}{4} = \frac{98}{91} \times \frac{4}{9}$

• Multiply the Numerators: $98 \times 4 = 392$
• Multiply the Denominators: $91 \times 9 = 819$
• Form the New Fraction: $\frac{98}{91} \times \frac{9}{4} = \frac{392}{819}$

Let's Simplify $\frac{392}{819}$

• Find the Greatest Common Divisor (GCD) of $392$ and $819$. The GCD of $392$ and $819$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{392 \div 7}{819 \div 7} = \frac{56}{117}$

Answer $\frac{98}{91}\div\frac{9}{4} = \frac{56}{117}$

The following animation demonstrates the divide-by,