Compare 18/40 and 32/45
18/40 is smaller than 32/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
18/40 = 18 × 9/40 × 9 = 162/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
32/45 = 32 × 8/45 × 8 = 256/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 162/360 < 256/360 or 18/40 < 32/45
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