Learn Simplifying Fractions & Equivalent Fractions - [5-4-13]

In this lesson, you will learn simplifying fractions to lowest terms. In order to simplify a fraction, we can divide the numerator and denominator by the same factor (number). When we do this, we change the way that the fraction looks, but we don't change the meaning of the fraction. For example, the fractions 5/10, 6/12, 3/6, and 1/2 all represent the same amount of material, namely one half of the item in question. Simplifying fraction is very closely related to the idea of an equivalent fraction. We use equivalent fractions when we add, subtract, multiply, or divide fractions. We always simplify the resulting fraction to lowest terms to find the answer.

[suprmann]

Best teacher in all fields. I follow him from his electronics lectures.

[tarantula]

This information is gold, I went through so many videos just to get my answer here! Awesome

[TheAdamsalam]

I appreciate you efforts, like what you are providing here, keep the good work

[anweshavarma]

Can we divide the smallest odd/even number by 3/2 and not the number itself ?

[hemarajue]

Another way we can think of simplifying fractions is to chose the factors of either denominator or numerator (whichever is smaller) and try to divide by that factor.

[fanaticforager]

👁 Think 🤔 💭 this Teacher 🧑‍🏫 ascends from an ancient lineage öf Reputable Wizards 🧙🏼 ✨✅

[sabrinachau-sd]

Hey! I have been watching your videos for so long I absolutely love them! Do you think you could do a year 6 math maybe? Thanks if you do! 🥰😇

[shadowm]

Sir, why we use 2x2 and 4x2 to make 4 by 8 in simplest form why we don't use 1+1+1+1 by 1+1+1+1+1+1+1+1 and cut similar one to make 4 by 8 in simplest form

[basembb]

what a day!!! i dont like math but this got intresting!!!




















































































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xoxo!!

[iqfncmq]

HOW TO SIMPLIFY FRACTIONS THE EASIEST WAY:
If the difference between the numerator and denominator is 1, the fraction cannot be simplified.
A. Ask: does the numerator go into the denominator evenly (i.e. without any remainder)?
If yes, proceed to B.
If not, proceed to C.
B. Great! The simplest fraction is 1 over the number of times the numerator fits in the denominator. (e.g. 20/60, 20 fits evenly 3 times, hence 1/3.)
C. Write the remainder, (e.g. 20/46, (20 fits 2 times in 46, with a remainder of) 6.) to the right of the fraction, and ask: does the remainder go evenly into the numerator?
If yes, proceed to D.
If not, proceed to E.
D. Great! The "remainder" is the Greatest Common Factor. Divide both the numerator and denominator by the GCF/remainder to have the simplest fraction.
E. Write the "new remainder" (using the last example, 20/46, 6 fits into 20 with a "new remainder" of 2) to the right of the previous "remainder", and ask: does the "new remainder" fit evenly into the previous "remainder" (2 into 6)?
If yes, proceed to D.
If not, proceed to E.
Please, (with your amazing talent, ) produce a video demonstrating it.

//Euclidean Algorithm.

[mariewelsh]

HARVEST MOON
The tale of two villages

[cesaru]

Now this is why Italians are the best at Fractional Numbers.

[bincyelizabeth]

watching from kerala India, Excellent teaching

[langchang]

Hey Jason,
Question does your Algebra 2 course include Advanced Algebra, algebra word problems and Matrix algebra like your algebra 2 tutor did?

If not what order should I follow it after completing algebra 2 course. Thank you

[insight]

I appreciate your work! Simplifying is valuable, but the emphasis should be on equivalency. Not on simplifying. There are times when simplifying is not optimal.

[harrymatabal]

4/12 why don't you divide by 4 instead of wasting our time