Compare 8/96 and 21/70
8/96 is smaller than 21/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 70 is 3360
Next, find the equivalent fraction of both fractional numbers with denominator 3360 - For the 1st fraction, since 96 × 35 = 3360,
8/96 = 8 × 35/96 × 35 = 280/3360 - Likewise, for the 2nd fraction, since 70 × 48 = 3360,
21/70 = 21 × 48/70 × 48 = 1008/3360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/3360 < 1008/3360 or 8/96 < 21/70
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