Compare 6/30 and 21/54
6/30 is smaller than 21/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
6/30 = 6 × 9/30 × 9 = 54/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
21/54 = 21 × 5/54 × 5 = 105/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 54/270 < 105/270 or 6/30 < 21/54
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