Add −127+(314). Write your answer as a reduced improper fraction
−127+(314)= _
Add −1/27+(3/14). Write your answer as a reduced improper fraction.
−127+(314)=
Add −1 1/3+(−4 2/3).
To add mixed numbers, we first need to convert them to improper fractions.
-1 1/3 is equivalent to -4/3 (we multiplied the whole number -1 by the denominator 3, then added the numerator 1, and kept the same denominator 3).
-4 2/3 is equivalent to -14/3 (we multiplied the whole number -4 by the denominator 3, then added the numerator 2, and kept the same denominator 3).
Now, we can add the improper fractions:
-4/3 + (-14/3) = -18/3.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
-18/3 = -6/1.
Therefore, -1 1/3 + (-4 2/3) = -6/1 or -6 as an improper fraction.
Add −3 1/6+5 3/4. Write your answer as a reduced mixed number.
To add mixed numbers, we first need to convert them to improper fractions.
-3 1/6 is equivalent to -19/6 (we multiplied the whole number -3 by the denominator 6, then added the numerator 1 and kept the same denominator 6).
5 3/4 is equivalent to 23/4 (we multiplied the whole number 5 by the denominator 4, then added the numerator 3 and kept the same denominator 4).
Now, we can add the improper fractions:
-19/6 + 23/4.
To add fractions, we need to have a common denominator. The least common denominator (LCD) for 6 and 4 is 12 (6 x 2 = 12 and 4 x 3 = 12).
Next, we find the equivalent fractions with the LCD:
-19/6 is equivalent to -38/12 (we multiplied the numerator and denominator by 2).
23/4 is equivalent to 69/12 (we multiplied the numerator and denominator by 3).
Now, we can add the fractions:
-38/12 + 69/12 = 31/12.
Since the numerator is larger than the denominator, we have a mixed number.
To convert the improper fraction 31/12 to a mixed number, we divide the numerator (31) by the denominator (12):
31 ÷ 12 = 2 remainder 7
So, the mixed number is 2 7/12.
Therefore, -3 1/6 + 5 3/4 = 2 7/12.
13.92+(−22.111)
To add the numbers 13.92 and -22.111, we align the decimal points and add the numbers together:
13.92
+ (-22.111)
______________
-8.191
Therefore, 13.92 + (-22.111) = -8.191.
−5.11+(−1.56)
To add the numbers -5.11 and -1.56, we align the decimal points and add the numbers together:
-5.11
+ (-1.56)
_____________
-6.67
Therefore, -5.11 + (-1.56) = -6.67.
The sum of -127 and 314 is 187.
Therefore, -127 + 314 = 187.