Add 75/20 and 42/81
1st number: 3 15/20, 2nd number: 42/81
75/20 + 42/81 is 461/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 81 is 1620
Next, find the equivalent fraction of both fractional numbers with denominator 1620 - For the 1st fraction, since 20 × 81 = 1620,
75/20 = 75 × 81/20 × 81 = 6075/1620 - Likewise, for the 2nd fraction, since 81 × 20 = 1620,
42/81 = 42 × 20/81 × 20 = 840/1620 - Add the two like fractions:
6075/1620 + 840/1620 = 6075 + 840/1620 = 6915/1620 - 6915/1620 simplified gives 461/108
- So, 75/20 + 42/81 = 461/108
In mixed form: 429/108
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