Compare 1/70 and 30/72
1/70 is smaller than 30/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 72 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 70 × 36 = 2520,
1/70 = 1 × 36/70 × 36 = 36/2520 - Likewise, for the 2nd fraction, since 72 × 35 = 2520,
30/72 = 30 × 35/72 × 35 = 1050/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/2520 < 1050/2520 or 1/70 < 30/72
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