Add 42/75 and 21/35
42/75 + 21/35 is 29/25.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
42/75 = 42 × 7/75 × 7 = 294/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
21/35 = 21 × 15/35 × 15 = 315/525 - Add the two like fractions:
294/525 + 315/525 = 294 + 315/525 = 609/525 - 609/525 simplified gives 29/25
- So, 42/75 + 21/35 = 29/25
In mixed form: 14/25
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