Add 24/42 and 42/75
24/42 + 42/75 is 198/175.
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,
24/42 = 24 × 25/42 × 25 = 600/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
42/75 = 42 × 14/75 × 14 = 588/1050 - Add the two like fractions:
600/1050 + 588/1050 = 600 + 588/1050 = 1188/1050 - 1188/1050 simplified gives 198/175
- So, 24/42 + 42/75 = 198/175
In mixed form: 123/175
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