Add 35/84 and 27/40
35/84 + 27/40 is 131/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 84 × 10 = 840,
35/84 = 35 × 10/84 × 10 = 350/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
27/40 = 27 × 21/40 × 21 = 567/840 - Add the two like fractions:
350/840 + 567/840 = 350 + 567/840 = 917/840 - 917/840 simplified gives 131/120
- So, 35/84 + 27/40 = 131/120
In mixed form: 111/120
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