Add 30/42 and 1/75
30/42 + 1/75 is 382/525.
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,
1/75 = 1 × 14/75 × 14 = 14/1050 - Add the two like fractions:
750/1050 + 14/1050 = 750 + 14/1050 = 764/1050 - 764/1050 simplified gives 382/525
- So, 30/42 + 1/75 = 382/525
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