Add and Subtract Fractions to Solve Problems Quick Check
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Question
Your city wants to replace a fence around the city baseball field property, including the parking lot. The city learns that the total distance around the property is 1 1/2 of a mile. They already have enough fencing to cover 3/4 of a mile. How much more distance of fencing would they need to purchase?(1 point)
Responses
2 1/4 of a mile
2 Start Fraction 1 over 4 End Fraction of a mile
1 mile
1 mile
34 of a mile
Start Fraction 3 over 4 End Fraction of a mile
12 of a mile
Start Fraction 1 over 2 End Fraction of a mile
To find the additional distance of fencing the city needs to purchase, we need to subtract the distance they already have from the total distance around the property.
Total distance around the property: 1 1/2 miles
Distance already covered: 3/4 mile
To subtract fractions, we need to have a common denominator. In this case, the common denominator is 4.
1 1/2 = 3/2 (because 1 x 2 = 2 and 2 + 1 = 3)
Now, we subtract:
3/2 - 3/4
The denominators are already the same, so we can subtract the numerators:
(3 - 3)/4 = 0/4
Therefore, the city needs to purchase 0/4 (which simplifies to 0) miles of fencing. They do not need to purchase any additional fencing.
Answer: 0 mile