21. Write the ratio given as a simplified ratio.
If you drive 225 miles on 12 ½ gallons of gas, what is the simplified ratio of miles to gallons?
to 1
225/12.5 = x/1
12.5x = 225
x = 18
18 miles per gallon
12:24
To find the simplified ratio of miles to gallons, divide the number of miles by the number of gallons:
225 miles ÷ 12.5 gallons
The simplified ratio is:
18 miles ÷ 1 gallon
Therefore, the simplified ratio of miles to gallons is 18:1.
To find the simplified ratio of miles to gallons, we need to divide the number of miles by the number of gallons.
Given:
Miles: 225
Gallons: 12 ½
To convert the 12 ½ gallons to a fractional form, we note that ½ is equivalent to 1/2. So we have 12 ½ = 12 + 1/2 = 24/2 + 1/2 = 25/2.
Now, let's divide the number of miles by the number of gallons:
225 / (25/2)
To divide by a fraction, we multiply by its reciprocal. The reciprocal of 25/2 is 2/25.
225 * (2/25)
Simplifying the expression further:
225 * 2 = 450
25 * 1 = 25
So the simplified ratio of miles to gallons is 450 to 25, or 450/25.
However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 25:
450 ÷ 25 = 18
25 ÷ 25 = 1
So, the simplified ratio of miles to gallons is 18 to 1, or 18/1.