Question

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

Answer 1

Hint: Fractions represent a part of a whole or, any number of equal parts. A fraction describes how many parts of a certain size are there. For example: one – half, eight – fifths, three – quarters. Consider the number subtracted from 10 to be x, form an equation and equate to the given fraction number, convert the given fraction number into an improper fraction and simplify it to get the value of x.

Complete step-by-step answer:
Let the number to be subtracted from 10 be ‘X’.
So, 10 – X = \[4\dfrac{1}{4}\]
To convert mixed fraction into improper fraction multiply the whole number part by the fraction's denominator and add that to the numerator. Then write the result on top of the denominator.
10 – X = \[\dfrac{17}{4}\]
- X = \[\dfrac{17}{4}\]– 10
- X = \[\dfrac{-23}{4}\]
X = \[\dfrac{23}{4}\]
Therefore, the number to be subtracted from 10 to obtain \[4\dfrac{1}{4}\] is \[\dfrac{23}{4}\] .
Let us verify this now.
\[10-\dfrac{23}{4}=\dfrac{40-23}{4}=\dfrac{17}{4}\]

Note: A fraction with a numerator that is greater than or equal to the denominator is known as an improper fraction. The whole numbers are the part of the number system that includes all the positive integers from 0 to infinity. These numbers exist on the number line; hence they are all real numbers. Also, natural numbers along with ‘0’ are called whole numbers. For example: 0, 11, 25, 36, etc. A whole number and a fraction combined together into one are called mixed fractions. For example: \[4\dfrac{1}{4}\] is a mixed fraction.