Compare 7/8 and 45/21
1st number: 7/8, 2nd number: 2 3/21
7/8 is smaller than 45/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 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 21 × 8 = 168,
45/21 = 45 × 8/21 × 8 = 360/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/168 < 360/168 or 7/8 < 45/21
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