Add 35/42 and 56/75
35/42 + 56/75 is 79/50.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 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 75 × 14 = 1050,
56/75 = 56 × 14/75 × 14 = 784/1050 - Add the two like fractions:
875/1050 + 784/1050 = 875 + 784/1050 = 1659/1050 - 1659/1050 simplified gives 79/50
- So, 35/42 + 56/75 = 79/50
In mixed form: 129/50
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