What is 75/43 Divided By 5/3

Solving $\frac{75}{43}\div\frac{5}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{43} \div \frac{5}{3} = \frac{75}{43} \times \frac{3}{5}$

• Multiply the Numerators: $75 \times 3 = 225$
• Multiply the Denominators: $43 \times 5 = 215$
• Form the New Fraction: $\frac{75}{43} \times \frac{5}{3} = \frac{225}{215}$

Let's Simplify $\frac{225}{215}$

• Find the Greatest Common Divisor (GCD) of $225$ and $215$. The GCD of $225$ and $215$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{225 \div 5}{215 \div 5} = \frac{45}{43}$

Answer $\frac{75}{43}\div\frac{5}{3} = \frac{45}{43}$

The following animation demonstrates the divide-by,