Add 36/21 and 45/84
1st number: 1 15/21, 2nd number: 45/84
36/21 + 45/84 is 9/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 21 × 4 = 84,
36/21 = 36 × 4/21 × 4 = 144/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
45/84 = 45 × 1/84 × 1 = 45/84 - Add the two like fractions:
144/84 + 45/84 = 144 + 45/84 = 189/84 - 189/84 simplified gives 9/4
- So, 36/21 + 45/84 = 9/4
In mixed form: 21/4
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