# NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.4

NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.4 (Ex. 8.4) Decimals free to download in PDF updated in Hindi and English Medium for CBSE 2021-2022. Step by step solutions are given in explanation video.

Do all the questions yourself first and see the solutions if any doubt. Class 6 Maths exercise 8.4 all questions solutions are given in PDF and Videos format, so that student face no difficulty during the study.## Class 6 Maths Chapter 8 Exercise 8.4 Solution

### CBSE NCERT Class 6 Maths Chapter 8 Exercise 8.4 Solution in Hindi and English Medium

Class: 6 | Mathematics |

Chapter: 8 | Decimals |

Exercise: 8.4 | Explanation and Solutions |

### Class 6 Maths Chapter 8 Exercise 8.4 Solution in Videos

##### Conversion of a Decimal Fraction into common Fraction

To convert a decimal fraction into a common fraction, we remove the decimal point from the given decimal and the number thus obtained becomes the numerator of the common fraction. The denominator is formed by putting 1 and the number of zeroes at the right of 1 equal to the number of digits at the right of the decimal point in the given decimal fraction.

To understand the above rule, study the following example:

Example- 1:

Convert the following decimals into fractions in the lowest terms:

(i) 0.4 (ii) 0.28 (iii) 0.305

(i) 0.4 = 04/10 = 4/10 = 2/5

(ii) 0.28 = 028/100 = 7/25

(iii) 0.305 = 0305/1000 = 61/200

### Class 6 Maths Exercise 8.4 Extra Question with Answer

##### Convert the following decimals into fractions in the lowest terms: (i) 6.4 (ii) 12.05 (iii) 7.504

(i) 6.4 = 64/10 = 32/5 = 6(2/5)

(ii) 12.05 = 1205/100 = 241/20 = 12(1/20)

(iii) 7.504 = 7504/1000 = 938/125 = 7(63/125)

##### Convert 2(3/16) into decimal.

2(3/16) = (2 x 16 + 3)/16 = 35/16

Now, 35/16 = (35 x 625)/ 16 x 625 = 21875/10000 = 2.1875

Hence, 2(3/16) = 2.1875

##### Converting a Fraction into a Decimal

To convert a fraction into a decimal, first we change the given common fraction into an equivalent fraction whose denominator is 10 or 100 or 1000 etc. After that we change it into decimal.

Example 3:

Convert the following fractions into decimals:

(i) ½ (ii) 3/5 (iii) 2(1/25)

(i) ½ = (1 x 5)/ (2 x 5) = 5/10 = 0.5

(ii) 3/5 = (3 x 2)/ (5 x 2) =6/10 = 0.6

(iii) 2(1/25) = 51/25 = (51 x 4)/ (25 x 4) = 204/100 = 2.04

### Class 6 Maths Exercise 8.4 Important Questions

##### How many decimal places do banks use?

As for banking – my understanding is that they keep like 5 decimal places, and round at the last possible time. There are actually laws pertaining to how these figures are rounded, specifically when doing foreign currency exchanges.

##### How do we convert decimals into fractions?

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

##### What is 1.75 converted to a fraction?

Take 1.75 = 1 75/100. Next, simplify the fraction part to the lowest common term. e.g. 75/100 = 3/4.