Add 30/4 and 40/21
1st number: 7 2/4, 2nd number: 1 19/21
30/4 + 40/21 is 395/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
30/4 = 30 × 21/4 × 21 = 630/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
40/21 = 40 × 4/21 × 4 = 160/84 - Add the two like fractions:
630/84 + 160/84 = 630 + 160/84 = 790/84 - 790/84 simplified gives 395/42
- So, 30/4 + 40/21 = 395/42
In mixed form: 917/42
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