Add 35/42 and 81/40
1st number: 35/42, 2nd number: 2 1/40
35/42 + 81/40 is 343/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
35/42 = 35 × 20/42 × 20 = 700/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
81/40 = 81 × 21/40 × 21 = 1701/840 - Add the two like fractions:
700/840 + 1701/840 = 700 + 1701/840 = 2401/840 - 2401/840 simplified gives 343/120
- So, 35/42 + 81/40 = 343/120
In mixed form: 2103/120
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