Add 3/4 and 30/42
3/4 + 30/42 is 41/28.
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,
3/4 = 3 × 21/4 × 21 = 63/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
30/42 = 30 × 2/42 × 2 = 60/84 - Add the two like fractions:
63/84 + 60/84 = 63 + 60/84 = 123/84 - 123/84 simplified gives 41/28
- So, 3/4 + 30/42 = 41/28
In mixed form: 113/28
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