Compare 21/30 and 75/4
1st number: 21/30, 2nd number: 18 3/4
21/30 is smaller than 75/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 4 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
21/30 = 21 × 2/30 × 2 = 42/60 - Likewise, for the 2nd fraction, since 4 × 15 = 60,
75/4 = 75 × 15/4 × 15 = 1125/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/60 < 1125/60 or 21/30 < 75/4
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