Compare 10/40 and 70/81
10/40 is smaller than 70/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 81 is 3240
Next, find the equivalent fraction of both fractional numbers with denominator 3240 - For the 1st fraction, since 40 × 81 = 3240,
10/40 = 10 × 81/40 × 81 = 810/3240 - Likewise, for the 2nd fraction, since 81 × 40 = 3240,
70/81 = 70 × 40/81 × 40 = 2800/3240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/3240 < 2800/3240 or 10/40 < 70/81
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