Add 42/75 and 28/21
1st number: 42/75, 2nd number: 1 7/21
42/75 + 28/21 is 142/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 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 21 × 25 = 525,
28/21 = 28 × 25/21 × 25 = 700/525 - Add the two like fractions:
294/525 + 700/525 = 294 + 700/525 = 994/525 - 994/525 simplified gives 142/75
- So, 42/75 + 28/21 = 142/75
In mixed form: 167/75
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