Compare 8/21 and 4/5
821 is smaller than 45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 5 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
821 = 8 × 521 × 5 = 40105 - Likewise, for the 2nd fraction, since 5 × 21 = 105,
45 = 4 × 215 × 21 = 84105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40105 < 84105 or 821 < 45
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