What is 45/74 Divided By 5/6

Solving $\frac{45}{74}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{74} \div \frac{5}{6} = \frac{45}{74} \times \frac{6}{5}$

• Multiply the Numerators: $45 \times 6 = 270$
• Multiply the Denominators: $74 \times 5 = 370$
• Form the New Fraction: $\frac{45}{74} \times \frac{5}{6} = \frac{270}{370}$

Let's Simplify $\frac{270}{370}$

• Find the Greatest Common Divisor (GCD) of $270$ and $370$. The GCD of $270$ and $370$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 10}{370 \div 10} = \frac{27}{37}$

Answer $\frac{45}{74}\div\frac{5}{6} = \frac{27}{37}$

The following animation demonstrates the divide-by,