Write the ratio 20 inches to 3 feet using fractional notation. Simplify the fraction to lowest terms. Use 1 foot 12 inches to first write feet as inches. (1 point)

Question

9/5
5/9
20/3
3/20

Answer 1

To express the ratio $20$ inches to $3$ feet using fractional notation, we first need to convert the feet to inches. Since $1$ foot is equal to $12$ inches, we have:

$$3\text{ feet}=3\times 12\text{ inches}=36\text{ inches}$$

Now, we can write the ratio of $20$ inches to $36$ inches as a fraction:

$$\text{Ratio}=\frac{20\text{ inches}}{36\text{ inches}}$$

Next, we simplify the fraction:

$$\frac{20}{36}$$

To simplify, we find the greatest common divisor (GCD) of $20$ and $36$. The GCD is $4$, so we divide both the numerator and the denominator by $4$:

$$\frac{20÷4}{36÷4}=\frac{5}{9}$$

Thus, the simplified ratio of $20$ inches to $3$ feet is:

$$\frac{5}{9}$$

The correct answer is $\frac{5}{9}$.