Add 4/42 and 70/75
4/42 + 70/75 is 36/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
4/42 = 4 × 25/42 × 25 = 100/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
70/75 = 70 × 14/75 × 14 = 980/1050 - Add the two like fractions:
100/1050 + 980/1050 = 100 + 980/1050 = 1080/1050 - 1080/1050 simplified gives 36/35
- So, 4/42 + 70/75 = 36/35
In mixed form: 11/35
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