What is 98/35 Divided By 7/4

Solving $\frac{98}{35}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{35} \div \frac{7}{4} = \frac{98}{35} \times \frac{4}{7}$

• Multiply the Numerators: $98 \times 4 = 392$
• Multiply the Denominators: $35 \times 7 = 245$
• Form the New Fraction: $\frac{98}{35} \times \frac{7}{4} = \frac{392}{245}$

Let's Simplify $\frac{392}{245}$

• Find the Greatest Common Divisor (GCD) of $392$ and $245$. The GCD of $392$ and $245$ is $49$.
• Divide both the numerator and the denominator by the GCD:$\frac{392 \div 49}{245 \div 49} = \frac{8}{5}$

Answer $\frac{98}{35}\div\frac{7}{4} = \frac{8}{5}$

The following animation demonstrates the divide-by,