What is 45/43 Divided By 5/6

Solving $\frac{45}{43}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{43} \div \frac{5}{6} = \frac{45}{43} \times \frac{6}{5}$

• Multiply the Numerators: $45 \times 6 = 270$
• Multiply the Denominators: $43 \times 5 = 215$
• Form the New Fraction: $\frac{45}{43} \times \frac{5}{6} = \frac{270}{215}$

Let's Simplify $\frac{270}{215}$

• Find the Greatest Common Divisor (GCD) of $270$ and $215$. The GCD of $270$ and $215$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 5}{215 \div 5} = \frac{54}{43}$

Answer $\frac{45}{43}\div\frac{5}{6} = \frac{54}{43}$

The following animation demonstrates the divide-by,