Compare 21/70 and 30/96
21/70 is smaller than 30/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 96 is 3360
Next, find the equivalent fraction of both fractional numbers with denominator 3360 - For the 1st fraction, since 70 × 48 = 3360,
21/70 = 21 × 48/70 × 48 = 1008/3360 - Likewise, for the 2nd fraction, since 96 × 35 = 3360,
30/96 = 30 × 35/96 × 35 = 1050/3360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1008/3360 < 1050/3360 or 21/70 < 30/96
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