Add 21/84 and 40/35
1st number: 21/84, 2nd number: 1 5/35
21/84 + 40/35 is 39/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
21/84 = 21 × 5/84 × 5 = 105/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
40/35 = 40 × 12/35 × 12 = 480/420 - Add the two like fractions:
105/420 + 480/420 = 105 + 480/420 = 585/420 - 585/420 simplified gives 39/28
- So, 21/84 + 40/35 = 39/28
In mixed form: 111/28
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