Add 30/8 and 27/42
1st number: 3 6/8, 2nd number: 27/42
30/8 + 27/42 is 123/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 42 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 8 × 21 = 168,
30/8 = 30 × 21/8 × 21 = 630/168 - Likewise, for the 2nd fraction, since 42 × 4 = 168,
27/42 = 27 × 4/42 × 4 = 108/168 - Add the two like fractions:
630/168 + 108/168 = 630 + 108/168 = 738/168 - 738/168 simplified gives 123/28
- So, 30/8 + 27/42 = 123/28
In mixed form: 411/28
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