Compare 40/9 and 49/8
1st number: 4 4/9, 2nd number: 6 1/8
40/9 is smaller than 49/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 8 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
40/9 = 40 × 8/9 × 8 = 320/72 - Likewise, for the 2nd fraction, since 8 × 9 = 72,
49/8 = 49 × 9/8 × 9 = 441/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/72 < 441/72 or 40/9 < 49/8
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