Add 16/30 and 42/49
16/30 + 42/49 is 146/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
16/30 = 16 × 49/30 × 49 = 784/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
42/49 = 42 × 30/49 × 30 = 1260/1470 - Add the two like fractions:
784/1470 + 1260/1470 = 784 + 1260/1470 = 2044/1470 - 2044/1470 simplified gives 146/105
- So, 16/30 + 42/49 = 146/105
In mixed form: 141/105
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