Answer

Verified

340.8k+ views

**Hint:**Here in this question, we have to describe the methodology of how the fractions are simplified. Usually, the fractions are of three kinds. By taking all the three kinds of fraction we see the method how it is simplified. We also consider the examples to solve this. hence, we determine the solution.

**Complete step-by-step solution:**

The fraction has two parts one is numerator and another denominator. The value which is present above the line is called a numerator and the value which is present below the line is known as a denominator.

In fraction they are three kinds

Proper fraction: The fraction where the value of numerator less than the value of denominator.

Improper fraction: The fraction where the value of numerator greater than the value of denominator.

Mixed fraction: The combination of fraction and whole number.

The fraction number is represented as \[\dfrac{a}{b}\]

While simplifying the fraction we find the common factor of the number a and the number b. Then by cancelling the common factors we simplify the fraction.

This method is applicable to both proper fraction and Improper fraction.

When we simplify the mixed fraction, we convert the fraction into an improper fraction and then we follow the usual method.

Example: Simplify the fraction \[\dfrac{{25}}{{20}}\]

We take the common factor for the number 25 and 20.

The common factor for 25 and 20 is 5, hence we divide the both numbers by 5.

\[ \Rightarrow \dfrac{{25}}{{20}} = \dfrac{5}{4}\]

**Note:**To solve the fractions we follow the method the same. The greatest common factor is to find the numbers which are present in the fraction. To simplify the fraction, we need to know about the tables of multiplication and the division arithmetic operation. Hence the method is the same for all the fractions.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Give simple chemical tests to distinguish between the class 12 chemistry CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.

Differentiate between lanthanoids and actinoids class 12 chemistry CBSE

Classify weak and strong ligands out of a OH b F c class 12 chemistry CBSE

Define Vant Hoff factor How is it related to the degree class 12 chemistry CBSE