Respuesta :

lily9211

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

tramserran

Answer:  [tex]\bold{(F)\ 3\dfrac{5}{6}}[/tex]

Step-by-step explanation:

[tex]\dfrac{3}{5}b - \dfrac{1}{2}=1\dfrac{4}{5}[/tex]

Step 1: convert the mixed number into an improper fraction

[tex]\dfrac{3}{5}b - \dfrac{1}{2}=\dfrac{9}{5}[/tex]

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

   [tex](10)\dfrac{3}{5}b - (10)\dfrac{1}{2}=(10)\dfrac{9}{5}[/tex]

→  [tex]6b-5=18[/tex]

Step 3: Solve for the variable

   [tex]6b-5=18[/tex]

→  [tex]6b=23[/tex]

→  [tex]b=\dfrac{23}{6}[/tex]

Step 4: convert the answer into a mixed number

   [tex]b=\dfrac{23}{6}[/tex]

→  [tex]b=3\dfrac{5}{6}[/tex]

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