Add 7/84 and 36/75
7/84 + 36/75 is 169/300.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
7/84 = 7 × 25/84 × 25 = 175/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
36/75 = 36 × 28/75 × 28 = 1008/2100 - Add the two like fractions:
175/2100 + 1008/2100 = 175 + 1008/2100 = 1183/2100 - 1183/2100 simplified gives 169/300
- So, 7/84 + 36/75 = 169/300
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