Add 27/30 and 35/40
27/30 + 35/40 is 71/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
27/30 = 27 × 4/30 × 4 = 108/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
35/40 = 35 × 3/40 × 3 = 105/120 - Add the two like fractions:
108/120 + 105/120 = 108 + 105/120 = 213/120 - 213/120 simplified gives 71/40
- So, 27/30 + 35/40 = 71/40
In mixed form: 131/40
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