Add 35/27 and 40/30
1st number: 1 8/27, 2nd number: 1 10/30
35/27 + 40/30 is 71/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 30 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 27 × 10 = 270,
35/27 = 35 × 10/27 × 10 = 350/270 - Likewise, for the 2nd fraction, since 30 × 9 = 270,
40/30 = 40 × 9/30 × 9 = 360/270 - Add the two like fractions:
350/270 + 360/270 = 350 + 360/270 = 710/270 - 710/270 simplified gives 71/27
- So, 35/27 + 40/30 = 71/27
In mixed form: 217/27
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