Compare 10/30 and 36/54
10/30 is smaller than 36/54
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,
10/30 = 10 × 9/30 × 9 = 90/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
36/54 = 36 × 5/54 × 5 = 180/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/270 < 180/270 or 10/30 < 36/54
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