Add 30/8 and 3/42
1st number: 3 6/8, 2nd number: 3/42
30/8 + 3/42 is 107/28.
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,
3/42 = 3 × 4/42 × 4 = 12/168 - Add the two like fractions:
630/168 + 12/168 = 630 + 12/168 = 642/168 - 642/168 simplified gives 107/28
- So, 30/8 + 3/42 = 107/28
In mixed form: 323/28
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