Add 27/10 and 7/49
1st number: 2 7/10, 2nd number: 7/49
27/10 + 7/49 is 199/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 10 × 49 = 490,
27/10 = 27 × 49/10 × 49 = 1323/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
7/49 = 7 × 10/49 × 10 = 70/490 - Add the two like fractions:
1323/490 + 70/490 = 1323 + 70/490 = 1393/490 - 1393/490 simplified gives 199/70
- So, 27/10 + 7/49 = 199/70
In mixed form: 259/70
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