Compare 45/96 and 48/70
45/96 is smaller than 48/70
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,
45/96 = 45 × 35/96 × 35 = 1575/3360 - Likewise, for the 2nd fraction, since 70 × 48 = 3360,
48/70 = 48 × 48/70 × 48 = 2304/3360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1575/3360 < 2304/3360 or 45/96 < 48/70
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