Add 35/30 and 40/9
1st number: 1 5/30, 2nd number: 4 4/9
35/30 + 40/9 is 101/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
35/30 = 35 × 3/30 × 3 = 105/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
40/9 = 40 × 10/9 × 10 = 400/90 - Add the two like fractions:
105/90 + 400/90 = 105 + 400/90 = 505/90 - 505/90 simplified gives 101/18
- So, 35/30 + 40/9 = 101/18
In mixed form: 511/18
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