Add 75/90 and 81/40
1st number: 75/90, 2nd number: 2 1/40
75/90 + 81/40 is 343/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 90 × 4 = 360,
75/90 = 75 × 4/90 × 4 = 300/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
81/40 = 81 × 9/40 × 9 = 729/360 - Add the two like fractions:
300/360 + 729/360 = 300 + 729/360 = 1029/360 - 1029/360 simplified gives 343/120
- So, 75/90 + 81/40 = 343/120
In mixed form: 2103/120
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