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Question

Roy lives 1512 miles away from the Museum. Philip lives 2320 miles away from the Museum. How much closer does Roy live to Philip

A
1115
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B
1330
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C
2330
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D
1730
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Solution

The correct option is A 1115
Convert each mixed fraction into the improper fractions as follows

1512=12×1+512=1712

2320=20×2+320=4320

As these are unlike fractions, convert them into the like fractions as follows

Multiples of 12: 12, 24, 36, 48, 60, 72, ...
Multiples of 20: 20, 40, 60, 80, ...
LCM(12, 20) = 60

Now rewrite the denominators in each fractions as 60 (LCM of 12 and 20)

1712=17×512×5=8560
4320=43×320×3=12960

Difference of distances =129608560
=1298560
=4460
=2×2×112×2×3×5
=1115

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