Abookshelf is 30 inches wide. each book is 2 11/16 inches wide. how many books fit in the bookshelf?

A division problem always seems simple until a fraction is thrown in, right? Thought it may look more than a simple division problem, it really is a simple division problem that needs a shift in your mental perspective.

Let's start off by simplifying the horrid mixed fraction.

2 11/16 = (32 + 11)/16 = 43/16

Now divide "30" by "43/16".

x

You may be thinking, "Wait, that's a multiplication problem!" Actually, when dividing fractions you are essentially multiplying the dividend by the reciprocal (flip) of the divisor.

Since every book is of equal width, and we cannot cut into any books, 11 books can fit in the shelf. Hope this helps!

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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b

step-by-step explanation: