Answer:
4. 4/5
5. 2 1/4
7. 5/8
12. 1 1/5
Explanation:
- All of your answers are correct except for 4., 5., 7., and 12.
4.
8/10 can be simplified by dividing both the numerator and denominator by 2 (i.e., the greatest common factor between 8 and 10):
(8 / 2) / (10 / 2)
4/5
Thus, the final answer is 4/5.
5.
- You correctly converted 3 to 12/4 to have two denominators that are the same.
However, 12/4 - 3/4 = 9/4.
- When you convert 9/4 to a mixed number, the quotient is 2, the remainder is 1, and the divisor 4.
- Because a mixed number is essentially quotient + remainder/divisor, the answer as a mixed number is 2 1/4.
7.
- You correctly converted 3/4 to 6/8 to have two denominators that are the same.
However, 6/8 - 1/8 = 5/8.
12.
Your product was wrong which affected your answer when trying to convert the product to a mixed number (however, you correctly converted 30/16 to a mixed number, which is commendable):
4/5 * 6/4
(4 * 6) / (5 * 4)
24/20
The greatest common factor of 24/20 is 4, so we divide both numbers by 4:
(24 / 4) / (20 / 4)
6/5
- When you convert 6/5 to a mixed number, the quotient is 1, the remainder is 1, and the divisor is 5.
Thus, the answer as a mixed number is 1 1/5.