# 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 2020-2021. 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

Class: 6 | Mathematics |

Chapter: 8 | Decimals |

Exercise: 8.4 | Explanation and Solutions |

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

### 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

##### 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)

##### 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

##### 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

##### 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?

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