Compare 40/4 and 90/7
1st number: 10 0/4, 2nd number: 12 6/7
40/4 is smaller than 90/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
40/4 = 40 × 7/4 × 7 = 280/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
90/7 = 90 × 4/7 × 4 = 360/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/28 < 360/28 or 40/4 < 90/7
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