Compare 40/21 and 49/8
1st number: 1 19/21, 2nd number: 6 1/8
40/21 is smaller than 49/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 8 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 21 × 8 = 168,
40/21 = 40 × 8/21 × 8 = 320/168 - Likewise, for the 2nd fraction, since 8 × 21 = 168,
49/8 = 49 × 21/8 × 21 = 1029/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 320/168 < 1029/168 or 40/21 < 49/8
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