Add 21/84 and 45/8
1st number: 21/84, 2nd number: 5 5/8
21/84 + 45/8 is 47/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 8 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
21/84 = 21 × 2/84 × 2 = 42/168 - Likewise, for the 2nd fraction, since 8 × 21 = 168,
45/8 = 45 × 21/8 × 21 = 945/168 - Add the two like fractions:
42/168 + 945/168 = 42 + 945/168 = 987/168 - 987/168 simplified gives 47/8
- So, 21/84 + 45/8 = 47/8
In mixed form: 57/8
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