Add 36/42 and 14/28
36/42 + 14/28 is 19/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 28 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 42 × 2 = 84,
36/42 = 36 × 2/42 × 2 = 72/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
14/28 = 14 × 3/28 × 3 = 42/84 - Add the two like fractions:
72/84 + 42/84 = 72 + 42/84 = 114/84 - 114/84 simplified gives 19/14
- So, 36/42 + 14/28 = 19/14
In mixed form: 15/14
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