Add 30/75 and 45/16
1st number: 30/75, 2nd number: 2 13/16
30/75 + 45/16 is 257/80.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
30/75 = 30 × 16/75 × 16 = 480/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
45/16 = 45 × 75/16 × 75 = 3375/1200 - Add the two like fractions:
480/1200 + 3375/1200 = 480 + 3375/1200 = 3855/1200 - 3855/1200 simplified gives 257/80
- So, 30/75 + 45/16 = 257/80
In mixed form: 317/80
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