Compare 9/8 and 40/36
1st number: 1 1/8, 2nd number: 1 4/36
9/8 is greater than 40/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 36 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 8 × 9 = 72,
9/8 = 9 × 9/8 × 9 = 81/72 - Likewise, for the 2nd fraction, since 36 × 2 = 72,
40/36 = 40 × 2/36 × 2 = 80/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 81/72 > 80/72 or 9/8 > 40/36
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