Add 40/28 and 21/35
1st number: 1 12/28, 2nd number: 21/35
40/28 + 21/35 is 71/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 28 × 5 = 140,
40/28 = 40 × 5/28 × 5 = 200/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
21/35 = 21 × 4/35 × 4 = 84/140 - Add the two like fractions:
200/140 + 84/140 = 200 + 84/140 = 284/140 - 284/140 simplified gives 71/35
- So, 40/28 + 21/35 = 71/35
In mixed form: 21/35
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