Compare 40/45 and 2/18
40/45 is greater than 2/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
40/45 = 40 × 2/45 × 2 = 80/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
2/18 = 2 × 5/18 × 5 = 10/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/90 > 10/90 or 40/45 > 2/18
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