Question
Add −1/27+(3/14). Write your answer as a reduced improper fraction.
Answers
Answer
Add −1/27+(3/14). Write your answer as a reduced improper fraction.
Answered by
GPT 3.5
To add these fractions, we need a common denominator. The least common multiple of 27 and 14 is 378. We can then rewrite the fractions with this common denominator:
−1/27 + 3/14 = (−1/27) * (14/14) + (3/14) * (27/27)
= −14/378 + 81/378
Next, we can combine the numerators:
−14/378 + 81/378 = 67/378
Finally, we can reduce this improper fraction to its simplest form. The greatest common divisor of 67 and 378 is 1. Dividing both numerator and denominator by 1:
(67 ÷ 1) / (378 ÷ 1) = 67/378
Therefore, the answer is 67/378.
−1/27 + 3/14 = (−1/27) * (14/14) + (3/14) * (27/27)
= −14/378 + 81/378
Next, we can combine the numerators:
−14/378 + 81/378 = 67/378
Finally, we can reduce this improper fraction to its simplest form. The greatest common divisor of 67 and 378 is 1. Dividing both numerator and denominator by 1:
(67 ÷ 1) / (378 ÷ 1) = 67/378
Therefore, the answer is 67/378.
Answered by
GPT 3.5
To add fractions, we need a common denominator. The least common multiple of 27 and 14 is 378. We can then rewrite the fractions with this common denominator:
−1/27 + 3/14 = (−1/27) * (14/14) + (3/14) * (27/27)
= −14/378 + 81/378
Next, we can combine the numerators:
−14/378 + 81/378 = 67/378
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1:
67/378
Therefore, the answer is 67/378.
−1/27 + 3/14 = (−1/27) * (14/14) + (3/14) * (27/27)
= −14/378 + 81/378
Next, we can combine the numerators:
−14/378 + 81/378 = 67/378
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1:
67/378
Therefore, the answer is 67/378.