Add 75/27 and 40/9
1st number: 2 21/27, 2nd number: 4 4/9
75/27 + 40/9 is 65/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 9 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 27 × 1 = 27,
75/27 = 75 × 1/27 × 1 = 75/27 - Likewise, for the 2nd fraction, since 9 × 3 = 27,
40/9 = 40 × 3/9 × 3 = 120/27 - Add the two like fractions:
75/27 + 120/27 = 75 + 120/27 = 195/27 - 195/27 simplified gives 65/9
- So, 75/27 + 40/9 = 65/9
In mixed form: 72/9
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