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How to do 3/2b+1/5b=17 ?

2 Answers

1 vote

3/2b + 1/5b = 17

Multiply both sides by the LCD. The LCD is 2 * 5 = 10.

10 * 3/2b + 10 * 1/5b = 10 * 17

15b + 2b = 170

17b = 170

b = 10

User Sayed Mohd Ali
by
8.2k points
5 votes

Answer:

b = 10

Step-by-step explanation:

Lets start by combining like terms (b):

3/2b + 1/5b

to combine these fractions you must get them to both have the same denominator:

3/2 · 5/5 = 15/10 multiply top and bottom by other fractions denominator

1/5 · 2/2 = 2/10 multiply top and bottom by other fractions denominator

15/10 + 2/10 = 17/10

17/10b = 17

Now we want to get the b to be by itself, so lets first multiply both sides by 10:

17b = 170

Now lets divide both sides by 17:

b = 10

Hope this helped!

User Doin
by
8.3k points