Question

How do i solve this?

Answer 1

F. 3 5/6

Explanation:

3/5b - 1/2 = 1 4/5

Add 1/2 to both sides. To do this make the 4/5 have a common denominator of 10 by multiplying it by 2/2. Make 1/2 have a common den. of 10 by multiplying it by 5/5.

• 4/5 * 2/2 = 8/10
• 1/2 * 5/5 = 5/10

Now you can add.

3/5b = 1 13/10, which can be simplified to 2 3/10.

To isolate b, divide both sides by 3/5. This is the same as multiplying by 5/3 (reciprocal). First make 2 3/10 an improper fraction.

23/10 * 5/3 = 115/30

Simplified: 3 5/6

Answer 2

Answer:
`\bold{(F)\ 3(5)/(6)}`

Explanation:

`(3)/(5)b - (1)/(2)=1(4)/(5)`

Step 1: convert the mixed number into an improper fraction

`(3)/(5)b - (1)/(2)=(9)/(5)`

Step 2: multiply by the common Least Common Denominator to eliminate the denominator

`(10)(3)/(5)b - (10)(1)/(2)=(10)(9)/(5)`

→
`6b-5=18`

Step 3: Solve for the variable

`6b-5=18`

→
`6b=23`

→
`b=(23)/(6)`

Step 4: convert the answer into a mixed number

`b=(23)/(6)`

→
`b=3(5)/(6)`