Evaluate the expression shown below and write your answer as a mixed number in simplest form: -4 7/9 times -9/10
To evaluate the expression, we need to multiply the whole number part (-4) by the fraction part (-9/10), and then multiply the fraction part (7/9) by the fraction part (-9/10).
Whole number part: -4 * (-9/10) = 36/10 = 3 6/10 = 3 3/5
Fraction part: (7/9) * (-9/10) = -63/90 = -7/10
Adding the whole number and fraction parts together, we have:
3 3/5 - (7/10) = (3 * 5 + 3)/5 - 7/10 = 18/5 - 7/10
To find a common denominator, we can multiply the denominator and numerator of the first fraction by 2:
(18 * 2)/ (5 * 2) - 7/10 = 36/10 - 7/10
Now we can subtract the fractions:
36/10 - 7/10 = 36 - 7 / 10 = 29/10 = 2 9/10
Therefore, the expression -4 7/9 times -9/10 simplifies to 2 9/10.