What is the quotient of Three-fourths and StartFraction 5 Over 6 EndFraction? A fraction bar labeled 1. Under the 1 are 4 boxes labeled one-fourth. Under the 4 boxes are 6 boxes labeled one-sixth. Under the 6 boxes are 12 boxes labeled one-twelfth.

9/10 (look under here) or this = Three-fourths divided by one-eighth = 6 (D)

Step-by-step explanation:

For the first layer, Total = 1

Second layer:

1 is divided into 4 places = 1/4

So we have 1/4 in 4 places

The total of the second layer = 1/4×4 = 1

Third layer:

Each 1/4 is divided into 2 = 1/4÷2

= 1/4× 1/2 = 1/8

1/4 in 4 places = 1/8 in 2(4) places

= 1/8 in 8 places

Total of third layer = 1/8×8 = 1

Find attached the diagram derived from the above used in solving the question.

We are to find the fraction bars that represent the equation.

For those circled: 6 of the 1/8 in the third layer are under 3 of the 1/4 in the second layer.

Since under those circled, there are 6 boxes with 1/8, the fraction bar that would represent the equation would be equal to 6 in the left and right hand side of the equation.

The fraction bars that represent the equation = 3(1/4) ÷ 1/8

= 3/4 × 8/1 = 6

Therefore, Three-fourths divided by one-eighth = 6 (D)

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