Add 40/3 and 21/35
1st number: 13 1/3, 2nd number: 21/35
40/3 + 21/35 is 209/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 3 × 35 = 105,
40/3 = 40 × 35/3 × 35 = 1400/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
21/35 = 21 × 3/35 × 3 = 63/105 - Add the two like fractions:
1400/105 + 63/105 = 1400 + 63/105 = 1463/105 - 1463/105 simplified gives 209/15
- So, 40/3 + 21/35 = 209/15
In mixed form: 1314/15
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