Add 70/75 and 12/42
70/75 + 12/42 is 128/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
70/75 = 70 × 14/75 × 14 = 980/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
12/42 = 12 × 25/42 × 25 = 300/1050 - Add the two like fractions:
980/1050 + 300/1050 = 980 + 300/1050 = 1280/1050 - 1280/1050 simplified gives 128/105
- So, 70/75 + 12/42 = 128/105
In mixed form: 123/105
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