Add 10/75 and 40/42
10/75 + 40/42 is 38/35.
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,
10/75 = 10 × 14/75 × 14 = 140/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
40/42 = 40 × 25/42 × 25 = 1000/1050 - Add the two like fractions:
140/1050 + 1000/1050 = 140 + 1000/1050 = 1140/1050 - 1140/1050 simplified gives 38/35
- So, 10/75 + 40/42 = 38/35
In mixed form: 13/35
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