Add 45/84 and 40/27
1st number: 45/84, 2nd number: 1 13/27
45/84 + 40/27 is 1525/756.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
45/84 = 45 × 9/84 × 9 = 405/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
40/27 = 40 × 28/27 × 28 = 1120/756 - Add the two like fractions:
405/756 + 1120/756 = 405 + 1120/756 = 1525/756 - So, 45/84 + 40/27 = 1525/756
In mixed form: 213/756
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