Add 42/5 and 28/49
1st number: 8 2/5, 2nd number: 28/49
42/5 + 28/49 is 314/35.
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,
42/5 = 42 × 49/5 × 49 = 2058/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
28/49 = 28 × 5/49 × 5 = 140/245 - Add the two like fractions:
2058/245 + 140/245 = 2058 + 140/245 = 2198/245 - 2198/245 simplified gives 314/35
- So, 42/5 + 28/49 = 314/35
In mixed form: 834/35
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