Compare 36/14 and 40/4
1st number: 2 8/14, 2nd number: 10 0/4
36/14 is smaller than 40/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 4 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 14 × 2 = 28,
36/14 = 36 × 2/14 × 2 = 72/28 - Likewise, for the 2nd fraction, since 4 × 7 = 28,
40/4 = 40 × 7/4 × 7 = 280/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 72/28 < 280/28 or 36/14 < 40/4
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