What is 76/98 Divided By 3/5

Solving $\frac{76}{98}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{98} \div \frac{3}{5} = \frac{76}{98} \times \frac{5}{3}$

• Multiply the Numerators: $76 \times 5 = 380$
• Multiply the Denominators: $98 \times 3 = 294$
• Form the New Fraction: $\frac{76}{98} \times \frac{3}{5} = \frac{380}{294}$

Let's Simplify $\frac{380}{294}$

• Find the Greatest Common Divisor (GCD) of $380$ and $294$. The GCD of $380$ and $294$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{380 \div 2}{294 \div 2} = \frac{190}{147}$

Answer $\frac{76}{98}\div\frac{3}{5} = \frac{190}{147}$

The following animation demonstrates the divide-by,