Compare the fractions 10 4/7 and 15/4
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Answer:
Find the least common denominator or LCM of the two denominators:
LCM of 10 and 7 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70
For the 1st fraction, since 10 × 7 = 70,
15
10
=
15 × 7
10 × 7
=
105
70
Likewise, for the 2nd fraction, since 7 × 10 = 70,
4
7
=
4 × 10
7 × 10
=
40
70
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
105
70
>
40
70
or
15
10
>
4
7
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