Add 28/5 and 84/49
1st number: 5 3/5, 2nd number: 1 35/49
28/5 + 84/49 is 256/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 5 × 49 = 245,
28/5 = 28 × 49/5 × 49 = 1372/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
84/49 = 84 × 5/49 × 5 = 420/245 - Add the two like fractions:
1372/245 + 420/245 = 1372 + 420/245 = 1792/245 - 1792/245 simplified gives 256/35
- So, 28/5 + 84/49 = 256/35
In mixed form: 711/35
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