To solve the expression -3 + 2/3, we must first recognize that we are adding a negative number to a fraction.
To do so, we convert the whole number to a fraction with the same denominator so that we can add the two numbers more easily. The denominator in the fraction we have is 3, so we'll convert -3 to a fraction with a denominator of 3 as follows:
-3 = -3/1, and to get the common denominator, we multiply both the numerator (top number) and the denominator (bottom number) by 3:
-3/1 * 3/3 = -9/3
Now we have:
-9/3 + 2/3
Now that these two fractions have the same denominator, we can add the numerators together:
(-9 + 2)/3 = -7/3
The expression -3 + 2/3 simplifies to -7/3.
If you prefer to have a mixed number, -7/3 can be written as:
-7/3 = -2 1/3
This means that -3 + 2/3 equals -2 and 1/3 when expressed as a mixed number.
