Add 30/50 and 40/84
30/50 + 40/84 is 113/105.
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,
40/84 = 40 × 25/84 × 25 = 1000/2100 - Add the two like fractions:
1260/2100 + 1000/2100 = 1260 + 1000/2100 = 2260/2100 - 2260/2100 simplified gives 113/105
- So, 30/50 + 40/84 = 113/105
In mixed form: 18/105
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