2/3 = 4/6 after we multiply top and bottom by 2 (2*2 = 4, 2*3 = 6)
So we can turn
5/6 + 2/3
into
5/6 + 4/6
Then add the numerators to get 5+4 = 9
So 5/6 + 4/6 = 9/6 which reduces to 3/2 (divide both parts by 3)
The last thing to do is convert 3/2 into a mixed number. If you use long division you'll find that 3 divided by 2 = 1 remainder 1
Or you can think of it like this
3/2 = (2+1)/2 = 2/2 + 1/2 = 1 + 1/2 = 1&1/2
So the final answer, as a mixed number, is 1 & 1/2
Whole part = 1
Fraction part = 1/2
Answer:
V = 386.04
Step-by-step explanation:
V = 
V = 
V = (4/3)
92.16
V = 122.88
V = 386.04
Answer:
<u>29</u> $1 bills and <u>14</u> $5 bills.
Step-by-step explanation:
Let 
be the number of $1 bills and 
be the number of $5 bills. With the information given, we can set up two equations:
1) 
2) 
There are two ways to solve it; with elimination or substitution. In this explanation, I will solve it with elimination.
To solve it with elimination, multiply the first equation by 5 to get:
Then, you can subtract the equation we just got by the second equation to get:
Thus, 
. To find y, just substitute x for 29 in the first equation to get:
. Therefore, 
. That means that there are 29 $1 bills and 14 $5 bills. You can check by substituting those values for x and y in either of the first two equations.
Hope this helps :)
Bill's original ratio is like this...
6 to 10
You need to solve for this...
x to 15
You have to multiply both sides of the original ratio by 15...
6 times 15 = 90
10 times 15 = 150
Your new ratio is 90 to 150
Which reduces to 3 to 5
Yout new ratio is 3 to 5
