# 45/72 simplified

#### Understand the Problem

The question is asking for the simplification of the fraction 45/72 to its simplest form. To solve this, we need to find the greatest common divisor (GCD) of 45 and 72 and divide both the numerator and the denominator by that number.

The simplified form of $\frac{45}{72}$ is $\frac{5}{8}$.

The simplified form of $\frac{45}{72}$ is $\frac{5}{8}$.

#### Steps to Solve

1. Find the Greatest Common Divisor (GCD)

To simplify the fraction $\frac{45}{72}$, we first need to find the GCD of 45 and 72.

The factors of 45 are:

• $1, 3, 5, 9, 15, 45$

The factors of 72 are:

• $1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72$

The common factors are $1, 3, 9$. The greatest one is $9$.

1. Divide Both Numerator and Denominator by the GCD

Now we divide both the numerator and the denominator of the fraction by the GCD we just found.

$$\frac{45 \div 9}{72 \div 9} = \frac{5}{8}$$

1. Write the Final Simplified Fraction

The fraction $\frac{45}{72}$ simplifies to $\frac{5}{8}$.

The simplified form of $\frac{45}{72}$ is $\frac{5}{8}$.