Compare 10/45 and 40/48
10/45 is smaller than 40/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 48 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
10/45 = 10 × 16/45 × 16 = 160/720 - Likewise, for the 2nd fraction, since 48 × 15 = 720,
40/48 = 40 × 15/48 × 15 = 600/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/720 < 600/720 or 10/45 < 40/48
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