A model airplane takes 2.7 hours to construct and 13.5 hours to finish. Determine the ratio of construction time to finish time in simplest form

13.5/2.7 = 5

1:5

To determine the ratio of construction time to finish time, we need to divide the construction time by the finish time and simplify the fraction.

Construction time = 2.7 hours
Finish time = 13.5 hours

The ratio is calculated as follows:

Ratio = Construction time / Finish time

Plugging in the given values:

Ratio = 2.7 hours / 13.5 hours

To simplify the fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD). The GCD of 2.7 and 13.5 is 2.7.

Ratio = (2.7 / 2.7) hours / (13.5 / 2.7) hours
Ratio = 1 / 5

Therefore, the ratio of construction time to finish time in simplest form is 1:5.

To determine the ratio of construction time to finish time, we need to simplify the ratio between the two times.

First, let's express the construction time and finish time in terms of a common unit. Both times are already given in hours, so there's no need for conversion.

The construction time is 2.7 hours, and the finish time is 13.5 hours.

To simplify the ratio, we can divide both values by their greatest common divisor (GCD).

The GCD of 2.7 and 13.5 is 0.9, as both values are divisible by this number.

Dividing 2.7 by 0.9, we get 3, and dividing 13.5 by 0.9, we get 15.

So, the simplified ratio of construction time to finish time is 3:15.

This can be further simplified by dividing both values by their common factor of 3:

3 ÷ 3 = 1
15 ÷ 3 = 5

Therefore, the simplified ratio is 1:5, which represents the construction time to finish time.