Compare 4/27 and 45/72
4/27 is smaller than 45/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 72 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
4/27 = 4 × 8/27 × 8 = 32/216 - Likewise, for the 2nd fraction, since 72 × 3 = 216,
45/72 = 45 × 3/72 × 3 = 135/216 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 32/216 < 135/216 or 4/27 < 45/72
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