Compare 40/96 and 63/70
40/96 is smaller than 63/70
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,
40/96 = 40 × 35/96 × 35 = 1400/3360 - Likewise, for the 2nd fraction, since 70 × 48 = 3360,
63/70 = 63 × 48/70 × 48 = 3024/3360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1400/3360 < 3024/3360 or 40/96 < 63/70
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