Add 35/60 and 27/28
35/60 + 27/28 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
35/60 = 35 × 7/60 × 7 = 245/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
27/28 = 27 × 15/28 × 15 = 405/420 - Add the two like fractions:
245/420 + 405/420 = 245 + 405/420 = 650/420 - 650/420 simplified gives 65/42
- So, 35/60 + 27/28 = 65/42
In mixed form: 123/42
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