Add 10/25 and 35/42
10/25 + 35/42 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 25 × 42 = 1050,
10/25 = 10 × 42/25 × 42 = 420/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
35/42 = 35 × 25/42 × 25 = 875/1050 - Add the two like fractions:
420/1050 + 875/1050 = 420 + 875/1050 = 1295/1050 - 1295/1050 simplified gives 37/30
- So, 10/25 + 35/42 = 37/30
In mixed form: 17/30
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