Add 70/84 and 40/70
70/84 + 40/70 is 59/42.
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,
70/84 = 70 × 5/84 × 5 = 350/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
40/70 = 40 × 6/70 × 6 = 240/420 - Add the two like fractions:
350/420 + 240/420 = 350 + 240/420 = 590/420 - 590/420 simplified gives 59/42
- So, 70/84 + 40/70 = 59/42
In mixed form: 117/42
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