Add 30/16 and 45/42
1st number: 1 14/16, 2nd number: 1 3/42
30/16 + 45/42 is 165/56.
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,
30/16 = 30 × 21/16 × 21 = 630/336 - Likewise, for the 2nd fraction, since 42 × 8 = 336,
45/42 = 45 × 8/42 × 8 = 360/336 - Add the two like fractions:
630/336 + 360/336 = 630 + 360/336 = 990/336 - 990/336 simplified gives 165/56
- So, 30/16 + 45/42 = 165/56
In mixed form: 253/56
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