Add 10/9 and 40/28
1st number: 1 1/9, 2nd number: 1 12/28
10/9 + 40/28 is 160/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 28 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
10/9 = 10 × 28/9 × 28 = 280/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
40/28 = 40 × 9/28 × 9 = 360/252 - Add the two like fractions:
280/252 + 360/252 = 280 + 360/252 = 640/252 - 640/252 simplified gives 160/63
- So, 10/9 + 40/28 = 160/63
In mixed form: 234/63
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