Question

How do i solve this?

Answer 1

Answer:

F. 3 5/6

Step-by-step 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:  $\bold{(F)\ 3\dfrac{5}{6}}$

Step-by-step explanation:

$\dfrac{3}{5}b - \dfrac{1}{2}=1\dfrac{4}{5}$

Step 1: convert the mixed number into an improper fraction

$\dfrac{3}{5}b - \dfrac{1}{2}=\dfrac{9}{5}$

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

   $(10)\dfrac{3}{5}b - (10)\dfrac{1}{2}=(10)\dfrac{9}{5}$

→  $6b-5=18$

Step 3: Solve for the variable

   $6b-5=18$

→  $6b=23$

→  $b=\dfrac{23}{6}$

Step 4: convert the answer into a mixed number

   $b=\dfrac{23}{6}$

→  $b=3\dfrac{5}{6}$