Compare 36/32 and 40/72
1st number: 1 4/32, 2nd number: 40/72
36/32 is greater than 40/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 72 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
36/32 = 36 × 9/32 × 9 = 324/288 - Likewise, for the 2nd fraction, since 72 × 4 = 288,
40/72 = 40 × 4/72 × 4 = 160/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/288 > 160/288 or 36/32 > 40/72
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