Compare 10/27 and 40/70
10/27 is smaller than 40/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 70 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 27 × 70 = 1890,
10/27 = 10 × 70/27 × 70 = 700/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
40/70 = 40 × 27/70 × 27 = 1080/1890 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 700/1890 < 1080/1890 or 10/27 < 40/70
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