Compare 2/8 and 21/75
2/8 is smaller than 21/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 8 × 75 = 600,
2/8 = 2 × 75/8 × 75 = 150/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
21/75 = 21 × 8/75 × 8 = 168/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/600 < 168/600 or 2/8 < 21/75
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