Compare 45/42 and 40/6
1st number: 1 3/42, 2nd number: 6 4/6
45/42 is smaller than 40/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 6 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 42 × 1 = 42,
45/42 = 45 × 1/42 × 1 = 45/42 - Likewise, for the 2nd fraction, since 6 × 7 = 42,
40/6 = 40 × 7/6 × 7 = 280/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/42 < 280/42 or 45/42 < 40/6
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