Add 40/30 and 27/35
1st number: 1 10/30, 2nd number: 27/35
40/30 + 27/35 is 221/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
40/30 = 40 × 7/30 × 7 = 280/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
27/35 = 27 × 6/35 × 6 = 162/210 - Add the two like fractions:
280/210 + 162/210 = 280 + 162/210 = 442/210 - 442/210 simplified gives 221/105
- So, 40/30 + 27/35 = 221/105
In mixed form: 211/105
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