Add 45/16 and 30/42
1st number: 2 13/16, 2nd number: 30/42
45/16 + 30/42 is 395/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 42 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 16 × 21 = 336,
45/16 = 45 × 21/16 × 21 = 945/336 - Likewise, for the 2nd fraction, since 42 × 8 = 336,
30/42 = 30 × 8/42 × 8 = 240/336 - Add the two like fractions:
945/336 + 240/336 = 945 + 240/336 = 1185/336 - 1185/336 simplified gives 395/112
- So, 45/16 + 30/42 = 395/112
In mixed form: 359/112
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