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Find the rational number lying at the half of the way between -4 3/7 and 8 1/3.

A) 1 5/6
B) 1 2/3
C) 5 1/12
D) 6 2/5

User Meredrica
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1 Answer

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Final answer:

To find the rational number lying at half of the way between -4 3/7 and 8 1/3, first convert the mixed numbers into improper fractions. Then find the average of the two fractions to get the final answer.

Step-by-step explanation:

To find the rational number lying at half of the way between -4 3/7 and 8 1/3, we can first convert the mixed numbers into improper fractions. -4 3/7 is equal to -31/7 and 8 1/3 is equal to 25/3.

The question asked concerns determining which statement best completes a chart comparing reasons for and against adding a new varsity sport to a high school's offerings.

Next, we find the average of the two fractions by adding them together and dividing the sum by 2. (-31/7 + 25/3) / 2 = -43/21 + 25/6 = -753/126 + 525/126 = -228/126 = -38/21.

Therefore, the rational number lying at half of the way between -4 3/7 and 8 1/3 is -38/21.

User Jake Spencer
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