Add 24/42 and 6/75
24/42 + 6/75 is 114/175.
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,
6/75 = 6 × 14/75 × 14 = 84/1050 - Add the two like fractions:
600/1050 + 84/1050 = 600 + 84/1050 = 684/1050 - 684/1050 simplified gives 114/175
- So, 24/42 + 6/75 = 114/175
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