contestada

.The fraction models below represent two fractions of the same whole. How much of the Fraction 3 over 8 is in the Fraction 1 over 4?

A. 1/4

B. 1/3

C. 2/3

D. 3/4

Respuesta :

JonHenderson55
The answer is:   [C]:  2/3 .
_________________________________________
Explanation:
_______________________________________________
  →  (3/8) x = 1/4 ; Solve for "x"; 
_________________________________________________________ 
  → Divide EACH side of the equation by "(3/8)" ; to isolate "x" on one side of the equation; and to solve for "x" ;
____________________________________________________________
                      → [ (3/8) x ] / (3/8) = (1/4) / (3/8) ;
________________________________________________________
                           →   x = [tex] \frac{1}{4} [/tex]  ÷  [tex] \frac{3}{8} [/tex]  ;
__________________________________________________________
                           →   x = [tex] \frac{1}{4} [/tex]  *   [tex] \frac{8}{3} [/tex]  ;
__________________________________________________________
 →  The "4" cancels to a "1"; and the "8" changes to a "2"; since 
                              "8÷4 = 2 = 2/1" ;
________________________________________________________
         Rewrite as:   
_________________________________________________________
                           →   x = [tex] \frac{1}{1} [/tex]  *   [tex] \frac{2}{3} [/tex]  ;
_______________________________________________________
                           →  x   =   1 *  [tex] \frac{2}{3} [/tex] ;
                           
                           →  x  = [tex] \frac{2}{3} [/tex]  ;  which is:
_______________________________________________________
                                   → Answer choice:  [C]:  2/3  .  
__________________________________________________________     
anuksha0456

The missing fractional quantity is 2/3. Hence, option C is the right choice.

What are fractions?

Fractions are representation of quantities as a part of a certain quantity.

Written as a/b, read as a by b, and functions as a divided by b, represents a fraction showing a parts of b equal parts.

a is called the numerator, and b is called the denominator.

How to solve the question?

In the question, we are informed that the fraction models given involve two fractions of the same whole.

We are asked to find how much of the fraction 3 over 8 is in the fraction 1 over 4.

Assuming the unknown quantity to be x, we get an equation,

(3/8)*x = 1/4.

To find x, we multiply both sides of the equation with (8/3), to get:

(3/8)*x*(8/3) = (1/4)*(8/3),

or, x = 2/3.

Thus, the missing fractional quantity is 2/3. Hence, option C is the right choice.

Learn more about fractions at

https://brainly.com/question/11562149

#SPJ2

Otras preguntas