Compare 4/96 and 70/81
4/96 is smaller than 70/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 81 is 2592
Next, find the equivalent fraction of both fractional numbers with denominator 2592 - For the 1st fraction, since 96 × 27 = 2592,
4/96 = 4 × 27/96 × 27 = 108/2592 - Likewise, for the 2nd fraction, since 81 × 32 = 2592,
70/81 = 70 × 32/81 × 32 = 2240/2592 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/2592 < 2240/2592 or 4/96 < 70/81
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