Add 27/10 and 70/75
1st number: 2 7/10, 2nd number: 70/75
27/10 + 70/75 is 109/30.
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,
70/75 = 70 × 2/75 × 2 = 140/150 - Add the two like fractions:
405/150 + 140/150 = 405 + 140/150 = 545/150 - 545/150 simplified gives 109/30
- So, 27/10 + 70/75 = 109/30
In mixed form: 319/30
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