Add 2/5 and 32/84
2/5 + 32/84 is 82/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
2/5 = 2 × 84/5 × 84 = 168/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
32/84 = 32 × 5/84 × 5 = 160/420 - Add the two like fractions:
168/420 + 160/420 = 168 + 160/420 = 328/420 - 328/420 simplified gives 82/105
- So, 2/5 + 32/84 = 82/105
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