What is 45/18 Divided By 5/6

Solving $\frac{45}{18}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{18} \div \frac{5}{6} = \frac{45}{18} \times \frac{6}{5}$

• Multiply the Numerators: $45 \times 6 = 270$
• Multiply the Denominators: $18 \times 5 = 90$
• Form the New Fraction: $\frac{45}{18} \times \frac{5}{6} = \frac{270}{90}$

Let's Simplify $\frac{270}{90}$

• Find the Greatest Common Divisor (GCD) of $270$ and $90$. The GCD of $270$ and $90$ is $90$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 90}{90 \div 90} = \frac{3}{1}$

Answer $\frac{45}{18}\div\frac{5}{6} = \frac{3}{1}$

The following animation demonstrates the divide-by,