Compare 40/45 and 12/10
1st number: 40/45, 2nd number: 1 2/10
40/45 is smaller than 12/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 10 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
40/45 = 40 × 2/45 × 2 = 80/90 - Likewise, for the 2nd fraction, since 10 × 9 = 90,
12/10 = 12 × 9/10 × 9 = 108/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/90 < 108/90 or 40/45 < 12/10
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