Compare 2/72 and 24/70
2/72 is smaller than 24/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 70 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 72 × 35 = 2520,
2/72 = 2 × 35/72 × 35 = 70/2520 - Likewise, for the 2nd fraction, since 70 × 36 = 2520,
24/70 = 24 × 36/70 × 36 = 864/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/2520 < 864/2520 or 2/72 < 24/70
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