What is 83/50 Divided By 7/2

Solving $\frac{83}{50}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{83}{50} \div \frac{7}{2} = \frac{83}{50} \times \frac{2}{7}$

• Multiply the Numerators: $83 \times 2 = 166$
• Multiply the Denominators: $50 \times 7 = 350$
• Form the New Fraction: $\frac{83}{50} \times \frac{7}{2} = \frac{166}{350}$

Let's Simplify $\frac{166}{350}$

• Find the Greatest Common Divisor (GCD) of $166$ and $350$. The GCD of $166$ and $350$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{166 \div 2}{350 \div 2} = \frac{83}{175}$

Answer $\frac{83}{50}\div\frac{7}{2} = \frac{83}{175}$

The following animation demonstrates the divide-by,