Add 70/84 and 40/9
1st number: 70/84, 2nd number: 4 4/9
70/84 + 40/9 is 95/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
70/84 = 70 × 3/84 × 3 = 210/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
40/9 = 40 × 28/9 × 28 = 1120/252 - Add the two like fractions:
210/252 + 1120/252 = 210 + 1120/252 = 1330/252 - 1330/252 simplified gives 95/18
- So, 70/84 + 40/9 = 95/18
In mixed form: 55/18
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