Add 36/42 and 9/12
36/42 + 9/12 is 45/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 12 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 12 × 7 = 84,
9/12 = 9 × 7/12 × 7 = 63/84 - Add the two like fractions:
72/84 + 63/84 = 72 + 63/84 = 135/84 - 135/84 simplified gives 45/28
- So, 36/42 + 9/12 = 45/28
In mixed form: 117/28
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