Compare 3/10 and 6/9
310 is smaller than 69
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 10 × 9 = 90,
310 = 3 × 910 × 9 = 2790 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
69 = 6 × 109 × 10 = 6090 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2790 < 6090 or 310 < 69
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