Add 60/75 and 49/84
60/75 + 49/84 is 83/60.
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,
60/75 = 60 × 28/75 × 28 = 1680/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
49/84 = 49 × 25/84 × 25 = 1225/2100 - Add the two like fractions:
1680/2100 + 1225/2100 = 1680 + 1225/2100 = 2905/2100 - 2905/2100 simplified gives 83/60
- So, 60/75 + 49/84 = 83/60
In mixed form: 123/60
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