Compare 7/8 and 45/42
1st number: 7/8, 2nd number: 1 3/42
7/8 is smaller than 45/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 42 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
7/8 = 7 × 21/8 × 21 = 147/168 - Likewise, for the 2nd fraction, since 42 × 4 = 168,
45/42 = 45 × 4/42 × 4 = 180/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/168 < 180/168 or 7/8 < 45/42
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