Add 40/30 and 49/27
1st number: 1 10/30, 2nd number: 1 22/27
40/30 + 49/27 is 85/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
40/30 = 40 × 9/30 × 9 = 360/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
49/27 = 49 × 10/27 × 10 = 490/270 - Add the two like fractions:
360/270 + 490/270 = 360 + 490/270 = 850/270 - 850/270 simplified gives 85/27
- So, 40/30 + 49/27 = 85/27
In mixed form: 34/27
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