Add 27/75 and 60/84
27/75 + 60/84 is 188/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 75 × 28 = 2100,
27/75 = 27 × 28/75 × 28 = 756/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
60/84 = 60 × 25/84 × 25 = 1500/2100 - Add the two like fractions:
756/2100 + 1500/2100 = 756 + 1500/2100 = 2256/2100 - 2256/2100 simplified gives 188/175
- So, 27/75 + 60/84 = 188/175
In mixed form: 113/175
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