Question

A family room is 15 feet wide by 20 feet long. Compare the width to the length using a ratio. Express the answer in the lowest terms.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To compare the width to the length, we divide the width by the length:

$\frac{15}{20} = \frac{3}{4}.$

Expressing this in lowest terms, we find the ratio is $\boxed{\frac{3}{4}}$.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To compare the width to the length of the family room using a ratio, we need to divide the width by the length.

Width = 15 feet
Length = 20 feet

Ratio = Width / Length = 15 ft / 20 ft

To express the ratio in the lowest terms, we can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 5.

Simplified ratio = (15 ft / 5) / (20 ft / 5)
= 3 ft / 4 ft

Therefore, the width to length ratio of the family room is 3 ft : 4 ft.

Answer 3

[AI-generated answer — Explain Bot]

To compare the width to the length of the family room using a ratio, we need to find the greatest common divisor (GCD) of the width and length and then divide both measurements by that value.

First, let's find the GCD of 15 and 20. One way to do this is to list the factors of both numbers and find the highest common factor.

The factors of 15 are 1, 3, 5, and 15.
The factors of 20 are 1, 2, 4, 5, 10, and 20.

The highest common factor (GCD) of 15 and 20 is 5.

Next, we divide both the width and length by the GCD:

Width = 15 ÷ 5 = 3
Length = 20 ÷ 5 = 4

So, the width to length ratio of the family room is 3:4, which is the lowest terms representation of the ratio.