Add 30/84 and 28/40
30/84 + 28/40 is 37/35.
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,
30/84 = 30 × 10/84 × 10 = 300/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
28/40 = 28 × 21/40 × 21 = 588/840 - Add the two like fractions:
300/840 + 588/840 = 300 + 588/840 = 888/840 - 888/840 simplified gives 37/35
- So, 30/84 + 28/40 = 37/35
In mixed form: 12/35
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