Add 40/3 and 14/49
1st number: 13 1/3, 2nd number: 14/49
40/3 + 14/49 is 286/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 3 × 49 = 147,
40/3 = 40 × 49/3 × 49 = 1960/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
14/49 = 14 × 3/49 × 3 = 42/147 - Add the two like fractions:
1960/147 + 42/147 = 1960 + 42/147 = 2002/147 - 2002/147 simplified gives 286/21
- So, 40/3 + 14/49 = 286/21
In mixed form: 1313/21
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