Compare 30/35 and 21/54
30/35 is greater than 21/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 54 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 35 × 54 = 1890,
30/35 = 30 × 54/35 × 54 = 1620/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
21/54 = 21 × 35/54 × 35 = 735/1890 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1620/1890 > 735/1890 or 30/35 > 21/54
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