Question

What should be subtracted from 10 to get \[4\dfrac{1}{4}\]?

Answer 1

Hint:
Here, firstly we will convert \[4\dfrac{1}{4}\] which is given in the mixed fraction into the normal fraction. Then we will assume the required number and then we will form an equation from the given statement. Then by solving that equation we will get the value of the required term.

Complete step by step solution:
Firstly we will convert this term \[4\dfrac{1}{4}\] which is currently in mixed fraction into the normal fraction. Therefore, we get
\[ \Rightarrow 4\dfrac{1}{4} = \dfrac{{4 \times 4 + 1}}{4} = \dfrac{{17}}{4}\]
Let \[x\] be the term subtracted from the number 10 to get \[4\dfrac{1}{4}\].
Now we will make the equation from the above statement. Therefore, we get
\[ \Rightarrow 10 - x = 4\dfrac{1}{4} = \dfrac{{17}}{4}\]
Now we will solve this equation to get the value of \[x\], we get
\[ \Rightarrow x = 10 - \dfrac{{17}}{4} = \dfrac{{40 - 17}}{4} = \dfrac{{23}}{4} = 5\dfrac{3}{4}\]
Hence the value of \[x\] is \[5\dfrac{3}{4}\].

Therefore, \[5\dfrac{3}{4}\] should be subtracted from 10 to get \[4\dfrac{1}{4}\].

Note:
We should know that subtraction is the mathematical operation to find the difference between two numbers and addition is the mathematical operation to combine two numbers.
We know the definition of three main types of fraction i.e. proper fractions, improper fractions and mixed fractions.
Proper fractions are a fraction having the numerator less, or lower in degree, than the denominator i.e., \[Numerator < Denominator\]. The value of proper fraction after simplification is always less than 1.
Improper Fraction is a fraction where the numerator is greater than or equals to the denominator, then it is known as an improper fraction i.e., \[Numerator \ge Denominator\]. After the simplification of an improper fraction results in the value which is equal or greater than 1, but not less than 1.
Mixed Fraction is the combination of a natural number and fraction. It is basically an improper fraction. After the simplification of a mixed fraction results in the value which is always greater than 1. An improper fraction can be converted into a mixed fraction.