MATH SOLVE

3 months ago

Q:
# What is the product of 5 7/10 - 5/18

Accepted Solution

A:

Answer:244/45Step-by-step explanation:Simplify the following:
5 + 7/10 - 5/18
Put 5 + 7/10 - 5/18 over the common denominator 90. 5 + 7/10 - 5/18 = (90×5)/90 + (9×7)/90 + (5 (-5))/90:
(90×5)/90 + (9×7)/90 + (5 (-5))/90
90×5 = 450:
450/90 + (9×7)/90 + (5 (-5))/90
9×7 = 63:
450/90 + 63/90 + (5 (-5))/90
5 (-5) = -25:
450/90 + 63/90 + (-25)/90
450/90 + 63/90 - 25/90 = (450 + 63 - 25)/90:
(450 + 63 - 25)/90
| 1 | | | 4 | 5 | 0
+ | | 6 | 3
| 5 | 1 | 3:
(513 - 25)/90
| | 10 | | 4 | 0 | 13
| 5 | 1 | 3
- | | 2 | 5
| 4 | 8 | 8:
488/90
The gcd of 488 and 90 is 2, so 488/90 = (2×244)/(2×45) = 2/2×244/45 = 244/45:
Answer: 244/45