Compare 40/45 and 15/28
40/45 is greater than 15/28
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 28 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
40/45 = 40 × 28/45 × 28 = 1120/1260 - Likewise, for the 2nd fraction, since 28 × 45 = 1260,
15/28 = 15 × 45/28 × 45 = 675/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120/1260 > 675/1260 or 40/45 > 15/28
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