Compare 40/48 and 80/90
40/48 is smaller than 80/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 90 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 48 × 15 = 720,
40/48 = 40 × 15/48 × 15 = 600/720 - Likewise, for the 2nd fraction, since 90 × 8 = 720,
80/90 = 80 × 8/90 × 8 = 640/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/720 < 640/720 or 40/48 < 80/90
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