What is negative one and 1/3+-4 2/3
Negative one and one third (−1 1/3), plus negative four and two thirds (−4 2/3), can be simplified by finding a common denominator and combining the fractions:
To add these fractions, we need a common denominator, which in this case is 3.
So, −1 1/3 = −1 * 3/3 + 1/3 = -3/3 + 1/3 = -2/3.
Now, let's add −2/3 and −4 2/3:
−2/3 + −4 2/3 = −2/3 + (−4 − 2/3)
= −2/3 + (−4 * 3/3 − 2/3)
= −2/3 + (−12/3 − 2/3)
= −2/3 + (−14/3)
= (−2 − 14)/3
= −16/3.
Therefore, −1 1/3 + −4 2/3 is equal to −16/3.
To solve the expression -1 + 1/3 - 4 2/3, we can follow these steps:
1. Combine the whole numbers: -1 - 4 = -5.
2. Combine the fractions: 1/3 - 2/3 = -1/3.
3. Add the results from steps 1 and 2: -5 + (-1/3).
Since we are adding a whole number and a fraction, we need to convert the whole number into a fraction. -5 can be written as -5/1.
4. Find a common denominator: The LCD (Least Common Denominator) for 1 and 3 is 3. The LCD for 3 and 1 is also 3.
5. Rewrite the fractions with the common denominator: -5/1 + (-1/3) = -15/3 + (-1/3).
6. Add the fractions: -15/3 + (-1/3) = (-15 - 1)/3 = -16/3.
Therefore, -1 + 1/3 - 4 2/3 equals -16/3.