Compare 7/70 and 30/54
7/70 is smaller than 30/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 54 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 70 × 27 = 1890,
7/70 = 7 × 27/70 × 27 = 189/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
30/54 = 30 × 35/54 × 35 = 1050/1890 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/1890 < 1050/1890 or 7/70 < 30/54
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