Add and Subtract Fractions Unit Test

Question

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Question
Prairie Street is 3 7/8 miles long. Plains Avenue is 3 5/10 miles long. Ellis rides his bike the length of both Prairie Street and Plains Avenue. How many total miles does he ride?(1 point)
Responses

6 7/12
6 Start Fraction 7 over 12 End Fraction

6 3/8
6 Start Fraction 3 over 8 End Fraction

3/8
Start Fraction 3 over 8 End Fraction

7 3/8
7 Start Fraction 3 over 8 End Fraction
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Answer 1

To find the total miles that Ellis rides, we need to add the lengths of Prairie Street and Plains Avenue.

Prairie Street is 3 7/8 miles long.

Plains Avenue is 3 5/10 miles long.

To add these fractions, we need to find a common denominator. The common denominator for 8 and 10 is 40.

So, we need to convert 3 7/8 to an equivalent fraction with a denominator of 40:

3 7/8 = (3 * 8 + 7)/8 = 31/8

And we need to convert 3 5/10 to an equivalent fraction with a denominator of 40:

3 5/10 = (3 * 10 + 5)/10 = 35/10

Now, we can add the fractions:

31/8 + 35/10

To add fractions with different denominators, we need to find a common denominator. The common denominator for 8 and 10 is 40.

So, we need to convert 31/8 and 35/10 to equivalent fractions with a denominator of 40:

31/8 = (31 * 5)/ (8 * 5) = 155/40

35/10 = (35 * 4)/ (10 * 4) = 140/40

Now, we can add the fractions:

155/40 + 140/40 = 295/40

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 5:

295/40 = (295/5)/(40/5) = 59/8

So, the total distance that Ellis rides is 59/8 miles or 7 3/8 miles.

The correct response is 7 3/8.