What is 76/98 Divided By 7/4

Solving $\frac{76}{98}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{98} \div \frac{7}{4} = \frac{76}{98} \times \frac{4}{7}$

• Multiply the Numerators: $76 \times 4 = 304$
• Multiply the Denominators: $98 \times 7 = 686$
• Form the New Fraction: $\frac{76}{98} \times \frac{7}{4} = \frac{304}{686}$

Let's Simplify $\frac{304}{686}$

• Find the Greatest Common Divisor (GCD) of $304$ and $686$. The GCD of $304$ and $686$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 2}{686 \div 2} = \frac{152}{343}$

Answer $\frac{76}{98}\div\frac{7}{4} = \frac{152}{343}$

The following animation demonstrates the divide-by,