Add 2/5 and 42/49
2/5 + 42/49 is 44/35.
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,
2/5 = 2 × 49/5 × 49 = 98/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
42/49 = 42 × 5/49 × 5 = 210/245 - Add the two like fractions:
98/245 + 210/245 = 98 + 210/245 = 308/245 - 308/245 simplified gives 44/35
- So, 2/5 + 42/49 = 44/35
In mixed form: 19/35
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