Evaluate the expression shown below and write your answer as a mixed number in simplest form:5 7/10 times -8/9
To evaluate the expression 5 7/10 times -8/9, we convert the mixed number 5 7/10 into an improper fraction.
To do this, we multiply the whole number (5) by the denominator of the fraction (10) and add the numerator (7). This gives us 5 x 10 + 7 = 57.
So, the mixed number 5 7/10 can be written as the improper fraction 57/10.
To multiply 57/10 by -8/9, we multiply the numerators (57 x -8) and the denominators (10 x 9) separately, which gives us (-456/90).
Next, we simplify the fraction by dividing the numerator (-456) and the denominator (90) by their greatest common divisor, which is 6.
Thus, we have (-456/90) ÷ 6 = -76/15.
Therefore, the expression 5 7/10 times -8/9 is equal to -76/15.