Add 21/8 and 42/21
1st number: 2 5/8, 2nd number: 2 0/21
21/8 + 42/21 is 37/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
21/8 = 21 × 21/8 × 21 = 441/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
42/21 = 42 × 8/21 × 8 = 336/168 - Add the two like fractions:
441/168 + 336/168 = 441 + 336/168 = 777/168 - 777/168 simplified gives 37/8
- So, 21/8 + 42/21 = 37/8
In mixed form: 45/8
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