Compare 40/32 and 49/36
1st number: 1 8/32, 2nd number: 1 13/36
40/32 is smaller than 49/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 36 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
40/32 = 40 × 9/32 × 9 = 360/288 - Likewise, for the 2nd fraction, since 36 × 8 = 288,
49/36 = 49 × 8/36 × 8 = 392/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 360/288 < 392/288 or 40/32 < 49/36
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