Add 27/70 and 70/75
27/70 + 70/75 is 277/210.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 70 × 15 = 1050,
27/70 = 27 × 15/70 × 15 = 405/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
70/75 = 70 × 14/75 × 14 = 980/1050 - Add the two like fractions:
405/1050 + 980/1050 = 405 + 980/1050 = 1385/1050 - 1385/1050 simplified gives 277/210
- So, 27/70 + 70/75 = 277/210
In mixed form: 167/210
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