Add 30/50 and 20/42
30/50 + 20/42 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 50 × 21 = 1050,
30/50 = 30 × 21/50 × 21 = 630/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
20/42 = 20 × 25/42 × 25 = 500/1050 - Add the two like fractions:
630/1050 + 500/1050 = 630 + 500/1050 = 1130/1050 - 1130/1050 simplified gives 113/105
- So, 30/50 + 20/42 = 113/105
In mixed form: 18/105
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