Add 35/49 and 40/16
1st number: 35/49, 2nd number: 2 8/16
35/49 + 40/16 is 45/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
35/49 = 35 × 16/49 × 16 = 560/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
40/16 = 40 × 49/16 × 49 = 1960/784 - Add the two like fractions:
560/784 + 1960/784 = 560 + 1960/784 = 2520/784 - 2520/784 simplified gives 45/14
- So, 35/49 + 40/16 = 45/14
In mixed form: 33/14
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