Add 30/42 and 45/75
30/42 + 45/75 is 46/35.
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,
30/42 = 30 × 25/42 × 25 = 750/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
45/75 = 45 × 14/75 × 14 = 630/1050 - Add the two like fractions:
750/1050 + 630/1050 = 750 + 630/1050 = 1380/1050 - 1380/1050 simplified gives 46/35
- So, 30/42 + 45/75 = 46/35
In mixed form: 111/35
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