Simplify ​​​​​7 2/3 +− 5 1/4

3 answers

To simplify the expression 7 2/3 + -5 1/4, we first need to convert the mixed numbers to improper fractions.

7 2/3 = (7 * 3 + 2)/3 = 23/3

-5 1/4 = (-5 * 4 + 1)/4 = -19/4

Now, we can add the fractions:

23/3 + (-19/4)

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 3 * 4 = 12.

Multiplying the numerators and denominators by the appropriate factors, we get:

(23 * 4 + (-19 * 3)) / 12

= (92 - 57) / 12

= 35/12

Therefore, the simplified expression is 35/12.
Evaluate this expression.

32 + (−72.1)
To evaluate the expression 32 + (-72.1), simply add the numbers:

32 + (-72.1) = -40.1

Therefore, the value of the expression is -40.1.
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