What is 83/70 Divided By 7/4

Solving $\frac{83}{70}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{70} \div \frac{7}{4} = \frac{83}{70} \times \frac{4}{7}$

• Multiply the Numerators: $83 \times 4 = 332$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{83}{70} \times \frac{7}{4} = \frac{332}{490}$

Let's Simplify $\frac{332}{490}$

• Find the Greatest Common Divisor (GCD) of $332$ and $490$. The GCD of $332$ and $490$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{332 \div 2}{490 \div 2} = \frac{166}{245}$

Answer $\frac{83}{70}\div\frac{7}{4} = \frac{166}{245}$

The following animation demonstrates the divide-by,