Add 40/84 and 75/70
1st number: 40/84, 2nd number: 1 5/70
40/84 + 75/70 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
75/70 = 75 × 6/70 × 6 = 450/420 - Add the two like fractions:
200/420 + 450/420 = 200 + 450/420 = 650/420 - 650/420 simplified gives 65/42
- So, 40/84 + 75/70 = 65/42
In mixed form: 123/42
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