Add 40/84 and 45/42
1st number: 40/84, 2nd number: 1 3/42
40/84 + 45/42 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 84 × 1 = 84,
40/84 = 40 × 1/84 × 1 = 40/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
45/42 = 45 × 2/42 × 2 = 90/84 - Add the two like fractions:
40/84 + 90/84 = 40 + 90/84 = 130/84 - 130/84 simplified gives 65/42
- So, 40/84 + 45/42 = 65/42
In mixed form: 123/42
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