Add 20/75 and 35/42
20/75 + 35/42 is 11/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
20/75 = 20 × 14/75 × 14 = 280/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
35/42 = 35 × 25/42 × 25 = 875/1050 - Add the two like fractions:
280/1050 + 875/1050 = 280 + 875/1050 = 1155/1050 - 1155/1050 simplified gives 11/10
- So, 20/75 + 35/42 = 11/10
In mixed form: 11/10
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