If you drive 248 miles on 15 1/2 gallons of gas, what is the simplified ratio of miles to gallons
248 miles on 15 1/2 gallons
= 248 miles : 15.5 gallons
= 248/15.5 miles : 1 gallons
= 16 miles : 1 gallons
or more commonly expressed as 16 mpg
Well, let's do some math! If you drive 248 miles on 15 1/2 gallons of gas, we need to simplify the ratio of miles to gallons. To start, we can write this as a fraction: 248 miles / 15 1/2 gallons.
Now, let's convert that mixed number to an improper fraction. 15 1/2 is equal to 31/2. So, our fraction becomes 248 miles / 31/2 gallons.
To divide a fraction, we invert the second fraction and multiply. So, the simplified ratio of miles to gallons is 248 miles * 2/31 gallons.
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To determine the simplified ratio of miles to gallons, we can divide the number of miles driven by the number of gallons of gas used.
Given that you drove 248 miles on 15 1/2 gallons of gas, we can convert the mixed fraction 15 1/2 into an improper fraction:
15 1/2 = (2 * 15 + 1) / 2 = 31/2
Now, we can divide the number of miles (248) by the number of gallons of gas (31/2):
248 / (31/2) = 248 * (2/31) = 496/31
Therefore, the simplified ratio of miles to gallons is 496/31.
To find the simplified ratio of miles to gallons, we need to divide the number of miles by the number of gallons.
In this case, you drove 248 miles on 15 1/2 gallons of gas. To make the calculation easier, it is better to convert the mixed fraction to an improper fraction.
15 1/2 can be written as 15 + 1/2. To convert the mixed fraction to an improper fraction, you need to multiply the whole number (15) by the denominator of the fraction (2) and then add the numerator (1). This gives us (15 * 2) + 1 = 31/2.
Now we can calculate the ratio:
Ratio of miles to gallons = 248 miles / (31/2) gallons
To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 31/2 is 2/31.
So, the simplified ratio of miles to gallons is:
Ratio of miles to gallons = 248 miles * (2/31) gallons
Ratio of miles to gallons = 496/31
Ratio of miles to gallons = 16
Therefore, the simplified ratio of miles to gallons is 16:1.