Add 27/10 and 45/75
1st number: 2 7/10, 2nd number: 45/75
27/10 + 45/75 is 33/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 10 × 15 = 150,
27/10 = 27 × 15/10 × 15 = 405/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
45/75 = 45 × 2/75 × 2 = 90/150 - Add the two like fractions:
405/150 + 90/150 = 405 + 90/150 = 495/150 - 495/150 simplified gives 33/10
- So, 27/10 + 45/75 = 33/10
In mixed form: 33/10
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