Question

An office is divided into 8 cubicles. how many of the cubicles are carpeted if only 1/4 of the cubicles are carpeted?

Answer 1

For this case we have the following relationship for the number of carpeted cubicles:

$n = xy$

Where,

y: total number of cubicles

x: fraction of carpeted cubicles.

Therefore, substituting values we have:

$n = (\frac{1}{4}) (8)\\n = 2$

Answer:

The number of carpeted cubicles is given by:

$n = 2$

Answer 2

Only 2 cubicles are carpeted

Further explanation  

Fraction numbers are known as numerators and denominators  

On a number line, fractions are expressed in points that lie between two integers  

The general form of fractions is  

$\large {\boxed {\bold {\frac {a} {b}}}$  

a = numerator  

b = denominator  

There are several steps to multiply fractions  

• 1. Multiply the numerators  
• 2. Multiply the denominators  
• 3. Simplify the fraction  

For multiplying fractions and whole numbers,  

• 1. Make the whole number a fraction (denominators = 1)  
• 2. Multiplying fractions  

An office is divided into 8 cubicles

1/4 of the cubicles are carpeted

This includes multiplying fractions and whole numbers:

so make the whole number a fraction

$\displaystyle 8=\frac{8}{1}$

then multiplying the top (numerators) and the bottom(denominators)

=$\displaystyle \frac{8}{1} \times\frac{1}{4}$

=$\displaystyle \frac{8\times1}{1\times4}$

=$\displaystyle \frac{8}{4}$

=$\large{\boxed{\bold{2}}$

Learn more  

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Keywords :office, carpeted, cubicles, whole number, fractions, multiplying