Compare 3/4 and 49/81
3/4 is greater than 49/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 81 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 4 × 81 = 324,
3/4 = 3 × 81/4 × 81 = 243/324 - Likewise, for the 2nd fraction, since 81 × 4 = 324,
49/81 = 49 × 4/81 × 4 = 196/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/324 > 196/324 or 3/4 > 49/81
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