Simplify the following fractions: a. 12 / 24 b. 6 / 9 c. 18 / 10 d. 10 / 9

Name: Problem 56, Chapter 2: Essential Math and Calculations for Pharmacy Technicians
Uploaded: 2021-02-20T14:28:11-08:00
Duration: 5 min 12 s
Channel: Debasish Das
Description: Simplify the following fractions: a. 12 / 24 b. 6 / 9 c. 18 / 10 d. 10 / 9

Simplify the following fractions: a. 12 / 24 b. 6 / 9 c. 18...

Key Concepts

Greatest Common Divisor (GCD)

The greatest common divisor (GCD) of two numbers is the largest number that divides both numbers without leaving a remainder. When simplifying fractions, finding the GCD of the numerator and the denominator helps to determine the factor by which both numbers can be divided to reduce the fraction to its simplest form.

Lowest Terms

Writing a fraction in lowest terms means expressing it so that the numerator and the denominator have no common factors other than 1. Achieving this standard form makes the fraction its most reduced, clear and convenient representation.

Fraction Simplification

Fraction simplification involves reducing a fraction to its simplest form by dividing both the numerator and the denominator by their common factors. This process ensures that the fraction is expressed in the lowest terms, making it easier to understand and compare to other fractions.

Transcript

00:02 Question number 13 here you have to find the fraction in its lowest terms let us see how you can do it so question number is 9 divided by 12 so 9 is a so 9 is a numerator and 12 is the denominator now if you have to see what is the common factor between this numerator and denominator then if you see 9 and 12 are the two numbers so three is the common factor so nine you can divide by three 12 so you can divide by three let us do that it is three divided by four so now three and four are there there is no other common factor between three and four so this is the the fraction nine by twelve in its lowest terms next one next one next one is also the question is 54 divided by i can see what number can come as a factor so you can say nine can come as a factor so 54 you can divide by 9 7 to 2 also can divide by 9 let us see 24 divided by 9 702 so the answer will be 6 divided by now now i can see 6 by 8 is there but between 6 and 8 we can find some common factors so you can divide 6 and 8 both by 2 so let us do that 6 divided by 2 1 8 divided by 2 so as you can 3 by 4 so now between 3 and 4 there is no other common factor so this is the final answer in lowest forms so number c that question is 84 divided by 35 so you can see what is a common factor you can find 7 as a common factor so it can write 84 divided by 735 divided by so you can see it's coming 12 but now i can see between 2 or 5 there is no other common factor so this is the final final answer and the fraction in the lowest term if you find anything uh factor common between the numerator and denominator you have to keep doing it till there is no other factor common between the numerator and denominator to find taxing in the lowest terms so next the d it is 120 by 180 you see here can divide by 10 so it will become 120 divided by 10 by 10 by 180 by 10 is equal to 12 by 18.

04:35 Now, i can see you cannot stop here because between 12 and 18, you can have some more factor common.

04:41 We can have 6 as a common factor, right? so, you can divide by 6 also...

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