Add 30/50 and 21/84
30/50 + 21/84 is 17/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 84 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 50 × 42 = 2100,
30/50 = 30 × 42/50 × 42 = 1260/2100 - Likewise, for the 2nd fraction, since 84 × 25 = 2100,
21/84 = 21 × 25/84 × 25 = 525/2100 - Add the two like fractions:
1260/2100 + 525/2100 = 1260 + 525/2100 = 1785/2100 - 1785/2100 simplified gives 17/20
- So, 30/50 + 21/84 = 17/20
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