Compare 40/45 and 9/20
40/45 is greater than 9/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
40/45 = 40 × 4/45 × 4 = 160/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
9/20 = 9 × 9/20 × 9 = 81/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/180 > 81/180 or 40/45 > 9/20
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