Add 35/30 and 40/21
1st number: 1 5/30, 2nd number: 1 19/21
35/30 + 40/21 is 43/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
35/30 = 35 × 7/30 × 7 = 245/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
40/21 = 40 × 10/21 × 10 = 400/210 - Add the two like fractions:
245/210 + 400/210 = 245 + 400/210 = 645/210 - 645/210 simplified gives 43/14
- So, 35/30 + 40/21 = 43/14
In mixed form: 31/14
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