Add 35/42 and 30/50
35/42 + 30/50 is 43/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 50 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
35/42 = 35 × 25/42 × 25 = 875/1050 - Likewise, for the 2nd fraction, since 50 × 21 = 1050,
30/50 = 30 × 21/50 × 21 = 630/1050 - Add the two like fractions:
875/1050 + 630/1050 = 875 + 630/1050 = 1505/1050 - 1505/1050 simplified gives 43/30
- So, 35/42 + 30/50 = 43/30
In mixed form: 113/30
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