Add 40/12 and 70/9
1st number: 3 4/12, 2nd number: 7 7/9
40/12 + 70/9 is 100/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
40/12 = 40 × 3/12 × 3 = 120/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
70/9 = 70 × 4/9 × 4 = 280/36 - Add the two like fractions:
120/36 + 280/36 = 120 + 280/36 = 400/36 - 400/36 simplified gives 100/9
- So, 40/12 + 70/9 = 100/9
In mixed form: 111/9
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