Fractions and Decimals Blog 6

FRACTIONS AND DECIMALS

Good Morning boys

Today we will start with  division of Fractions.

After this class, you will be able to:
i) divide Fraction by a whole number
ii) divide Fraction by another Fraction

Utilize next period in completing the previous work....

DIVISION OF FRACTION BY A WHOLE NUMBER

Write the problem. The first step to dividing a fraction by a whole number is to simply write out the fraction followed by the division sign and the whole number you need to divide it by. Let's say we're working with the following problem: 2/3 ÷ 4

Change the whole number into a fraction. To change a whole number into a fraction, all you have to do is place the number over the number 1. The whole number becomes the numerator and 1 becomes the denominator of the fraction. Saying 4/1 is really the same as saying 4, since you're just showing that the number includes "1" 4 times. The problem should read 2/3 ÷ 4/1



Dividing a fraction by another fraction is the same as multiplying that fraction by the reciprocal of the other fraction.


RECIPROCAL: The non-zero numbers whose product with each other is 1.



Write the reciprocal of the whole number. To find the reciprocal of a number, simply switch the numerator and the denominator of the number. Therefore, to find the reciprocal of 4/1, simply switch the numerator and denominator so that the number becomes 1/4


Change the division sign into a multiplication sign. The problem should read 2/3 x 1/4


Simplify the fraction. To simply the fraction, you need to find the lowest common denominator, which means that you should divide both the numerator and denominator by any number that divides evenly into both numbers. Since 2 is the numerator, you should see if 2 divides evenly into 12 -- it does because 12 is even. Then, divide both the numerator and denominator by 2 to get the new numerator and denominator to get a simplified answer



Check out the video to learn more:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-dividing-fractions/v/visually-dividing-a-fraction-by-a-whole-number

NOW GET DOWN ON QUESTION No. 1
The first two parts are done for you.

QUESTION 2: 

Part (i) is done for you. Now attempt Question 3

Similarly, solve the other parts.


DIVISION OF FRACTION BY ANOTHER FRACTION



Using the above example move to Question 4

Similarly, now solve the other parts.


HOMEWORK:
Complete the Exercise Questions 2.4
Check your answer here on this link:  https://www.learncbse.in/ncert-solutions-for-class-7-maths-fractions-and-decimals-exercise-2-4/



This is all for today!

BYE!