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kogti [31]
3 years ago
15

How do i solve this?

Mathematics
2 answers:
Andrews [41]3 years ago
4 0

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

Bezzdna [24]3 years ago
3 0

Answer:  \bold{(F)\ 3\dfrac{5}{6}}

<u>Step-by-step explanation:</u>

\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}

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