Add 35/50 and 30/42
35/50 + 30/42 is 99/70.
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,
35/50 = 35 × 21/50 × 21 = 735/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
30/42 = 30 × 25/42 × 25 = 750/1050 - Add the two like fractions:
735/1050 + 750/1050 = 735 + 750/1050 = 1485/1050 - 1485/1050 simplified gives 99/70
- So, 35/50 + 30/42 = 99/70
In mixed form: 129/70
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