What is 45/83 Divided By 5/4

Solving $\frac{45}{83}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{83} \div \frac{5}{4} = \frac{45}{83} \times \frac{4}{5}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $83 \times 5 = 415$
• Form the New Fraction: $\frac{45}{83} \times \frac{5}{4} = \frac{180}{415}$

Let's Simplify $\frac{180}{415}$

• Find the Greatest Common Divisor (GCD) of $180$ and $415$. The GCD of $180$ and $415$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 5}{415 \div 5} = \frac{36}{83}$

Answer $\frac{45}{83}\div\frac{5}{4} = \frac{36}{83}$

The following animation demonstrates the divide-by,