Answer:
3.5 ft.
Step-by-step explanation:
The question describes a bookshelf with width given in inches and we have to find the actual width in feet.
That makes it
Conversion of lengths from inches to feets:
The bookshelf drawn by Sarita is
[tex]1 \frac{3}{4} [/tex]
inches wide.
Converting a mixed fraction to its simplest form
Any fraction with it's quotient greater than or equal to 1 can be expressed in the form of mixed fraction.
It combines a whole number and a fractional reminder. The whole number represents how many complete wholes you have.
So, to convert a mixed fraction to an improper fraction, following steps will be conducted:
STEP I
(multiply the whole number by the denominator)
In this case,
[tex] 1\frac{3}{4} [/tex]
- Denominator = 4
- whole number = 1
= 4 × 1
= 4
STEP II
(add the product to the numerator)
- numerator = 3
- product obtained din step 1 = 4
= 3 + 4
= 7
STEP III
(place the numerator obtained in Step 3 over the denominator)
- new numerator = 7
- denominator = 4
Which gives us the fraction:
[tex] \boxed{ \frac{7}{4} }[/tex]
So, the width of the bookshelf is 7/ 4 in.
Expressing it in feets:
[tex] \mathsf{ \frac{1}{2} \: inches \: represent = 1 \: feet }[/tex]
[tex] \mathsf{ 1 \: inch \:will\: represent = 1 \times \: \frac{2}{1} feet }[/tex]
[tex] \mathsf{ \frac{7}{4} \: inches \:will\: represent = 2 \times \: \frac{7}{4} feet }[/tex]
[tex] \implies \mathsf{ \underline{\frac{7}{2} \: ft. }}[/tex]
[tex] \mathsf{or}[/tex]
[tex] \implies \: \mathsf{ \underline{3.5 \: ft.}}[/tex]
That makes it Option: D) 3.5 ft.
