Add 40/35 and 70/84
1st number: 1 5/35, 2nd number: 70/84
40/35 + 70/84 is 83/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
40/35 = 40 × 12/35 × 12 = 480/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
70/84 = 70 × 5/84 × 5 = 350/420 - Add the two like fractions:
480/420 + 350/420 = 480 + 350/420 = 830/420 - 830/420 simplified gives 83/42
- So, 40/35 + 70/84 = 83/42
In mixed form: 141/42
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