Compare 3/96 and 18/70
3/96 is smaller than 18/70
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,
3/96 = 3 × 35/96 × 35 = 105/3360 - Likewise, for the 2nd fraction, since 70 × 48 = 3360,
18/70 = 18 × 48/70 × 48 = 864/3360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/3360 < 864/3360 or 3/96 < 18/70
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