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melomori [17]
3 years ago
11

A delivery truck drives three routes in one day. The first route is 1223 miles long, the second route is 1034 miles long, and th

e third route is 1512 miles long. What is the total number of miles the delivery truck drives? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ miles
Mathematics
1 answer:
avanturin [10]3 years ago
5 0

Answer:

Total = 38\frac{11}{12}\ miles

Step-by-step explanation:

Given

First\ Route = 12\frac{2}{3}\ miles

Second\ Route = 10\frac{3}{4}\ miles

Third\ Route = 15\frac{1}{2}\ miles

Required

Determine the total miles

Total = First\ Route + Second\ Route + Third\ Route

Total = 12\frac{2}{3} + 10\frac{3}{4} + 15\frac{1}{2}

Convert to improper fractions

Total = \frac{38}{3} + \frac{43}{4} + \frac{31}{2}

Take LCM

Total = \frac{152 + 129 + 186}{12}

Total = \frac{467}{12}

Total = 38\frac{11}{12}\ miles

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