Add 2/5 and 40/49
2/5 + 40/49 is 298/245.
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,
40/49 = 40 × 5/49 × 5 = 200/245 - Add the two like fractions:
98/245 + 200/245 = 98 + 200/245 = 298/245 - So, 2/5 + 40/49 = 298/245
In mixed form: 153/245
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