Add 5/75 and 10/42
5/75 + 10/42 is 32/105.
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,
5/75 = 5 × 14/75 × 14 = 70/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
10/42 = 10 × 25/42 × 25 = 250/1050 - Add the two like fractions:
70/1050 + 250/1050 = 70 + 250/1050 = 320/1050 - 320/1050 simplified gives 32/105
- So, 5/75 + 10/42 = 32/105
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