Compare 3/30 and 30/56
3/30 is smaller than 30/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 30 × 28 = 840,
3/30 = 3 × 28/30 × 28 = 84/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
30/56 = 30 × 15/56 × 15 = 450/840 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 84/840 < 450/840 or 3/30 < 30/56
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