Add 60/75 and 21/84
60/75 + 21/84 is 21/20.
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,
21/84 = 21 × 25/84 × 25 = 525/2100 - Add the two like fractions:
1680/2100 + 525/2100 = 1680 + 525/2100 = 2205/2100 - 2205/2100 simplified gives 21/20
- So, 60/75 + 21/84 = 21/20
In mixed form: 11/20
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