Question

How many fourths in 3 fourths? Write an expression to the problem.

Answer 1

Hint: In order to derive a mathematical expression from the above statement , solve the statement in two parts i.e. “How many fourths” and “in 3 fourth “. Expression of first part can be obtained by consider “how many” as a variable $ x $ and fourth as $ \dfrac{1}{4} $ and the second part the “in” look like it means equal to and “3 fourth “ is $ \dfrac{3}{4} $ .Combining both the parts of expression you will get your desired expression as $ \dfrac{1}{4}x = \dfrac{3}{4} $ .

Complete step-by-step answer:
In order to write any mathematical expression from some words and figures ,we must first find the relationship and the quantities specified And later turn these words into algebraic expressions.
Let’s look into our question what written in it “How many fourths in 3 fourths”
Let’s break our question into two parts i.e. “How many fourths” and “in 3 fourth “and find out the algebraic expression for each part.
“how many fourths” in this part “how many” is the variable quantity which we don’t know, so let it be called $ x $ and as we know fourth is nothing but commonly said as $ \dfrac{1}{4} $ .
So the algebraic expression for first part turns to be $ \dfrac{1}{4}x $ ---(1)
Now let's have a look into the second part “in 3 fourths”.
Here “in” we can look at this to mean “are equal to “and “3 fourth “ is nothing but $ \dfrac{3}{4} $ .
Expression of second part becomes $ = \dfrac{3}{4} $ ----(2)
Now combining the equation (1) and (2), we get
 $ \dfrac{1}{4}x = \dfrac{3}{4} $
Therefore, we have successfully formed the expression i.e. $ \dfrac{1}{4}x = \dfrac{3}{4} $ .
So, the correct answer is “3”.

Note: 1.Mathematical equation : A Mathematical equation can be defined as the mathematical statement which contains an equal symbol $ = $ in between two algebraic expressions that share the same value .
A algebraic expression can contain any number of variables generally we take 2-3 variables
Let assume a expression
 $ 5x + 9 = 24 $
It is a mathematical equation having LHS (Left-Hand-Side) equal to RHS (Right-Hand-Side)
Where $ x $ is the variable
5 is the coefficient of variable $ x $
And $ 24,9 $ are the constants
2. $ 2x + 98 + 78y $ is not a mathematical equation because it does not contain equality $ = $ symbol .
It is only a mathematical expression.