Add 45/84 and 70/35
1st number: 45/84, 2nd number: 2 0/35
45/84 + 70/35 is 71/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
70/35 = 70 × 12/35 × 12 = 840/420 - Add the two like fractions:
225/420 + 840/420 = 225 + 840/420 = 1065/420 - 1065/420 simplified gives 71/28
- So, 45/84 + 70/35 = 71/28
In mixed form: 215/28
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