Add 10/4 and 30/42
1st number: 2 2/4, 2nd number: 30/42
10/4 + 30/42 is 45/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
10/4 = 10 × 21/4 × 21 = 210/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
30/42 = 30 × 2/42 × 2 = 60/84 - Add the two like fractions:
210/84 + 60/84 = 210 + 60/84 = 270/84 - 270/84 simplified gives 45/14
- So, 10/4 + 30/42 = 45/14
In mixed form: 33/14
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