Add 35/8 and 21/84
1st number: 4 3/8, 2nd number: 21/84
35/8 + 21/84 is 37/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 84 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
35/8 = 35 × 21/8 × 21 = 735/168 - Likewise, for the 2nd fraction, since 84 × 2 = 168,
21/84 = 21 × 2/84 × 2 = 42/168 - Add the two like fractions:
735/168 + 42/168 = 735 + 42/168 = 777/168 - 777/168 simplified gives 37/8
- So, 35/8 + 21/84 = 37/8
In mixed form: 45/8
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