Add 40/16 and 7/49
1st number: 2 8/16, 2nd number: 7/49
40/16 + 7/49 is 37/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 16 × 49 = 784,
40/16 = 40 × 49/16 × 49 = 1960/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
7/49 = 7 × 16/49 × 16 = 112/784 - Add the two like fractions:
1960/784 + 112/784 = 1960 + 112/784 = 2072/784 - 2072/784 simplified gives 37/14
- So, 40/16 + 7/49 = 37/14
In mixed form: 29/14
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