01 - What is a Fraction? - Definition & Meaning - Part 1 - Numerator, Denominator & More.

[Envxty]



a fraction is a way of indicating parts of a whole. The top number, called the numerator, represents the number of parts you're working with. The bottom number, called the denominator, represents how many parts there are in total.
for example, if you have 1 piece of a pizza that was cut into 4 pieces, you have ¼ of a pizza. If you have 7/3 pizzas, you have two whole pizzas plus 1 piece of a pizza that was cut into three pieces.

Compound Fractions versus Simple Fractions

a compound fraction has a whole number and a fraction, such as 2 1/3 or 45 1/2. Usually, you must convert a compound fraction to a simple fraction before you can add, subtract, multiply or divide it.

Convert compound fractions by multiplying the whole number by the denominator of the fraction and then adding the numerator. Write a new fraction with the total as the numerator and the same number as the denominator.
For example, 2 1/3 becomes 7/3: 2 times 3, plus 1.( 2x3+1=7 )



Change a simple fraction to a compound fraction by dividing the numerator by the denominator. Write down the whole number you get by dividing and make the remainder the numerator of the fraction. The denominator is the same.
For example, for the fraction 7/3, divide 7 by 3 to get 2 with the remainder of one; the compound fraction is 2 1/3. You can only do this if the numerator is larger than the denominator.




Adding & Subtracting Fractions

Find the common denominator of the fractions you are adding or subtracting. To do this, you can multiply the denominators together, then multiply each numerator by the number you used to find its denominator. Sometimes you can find a common denominator that is a smaller number than you would get if you simply multiplied denominators together.
For example, to add the fractions 1/2 and 1/3, you first make the denominators the same by multiplying them together to get 6. Multiply 1 by 3 to get 3 as the new numerator for the first fraction. Multiply 1 by 2 to get 2 as the new numerator for the second fraction. Your new fractions are 3/6 and 2/6.

Add the numerators together and keep the same denominator.



Use the same technique to subtract fractions as you did to add fractions by finding the common denominator first, but instead of adding, subtract the numerator of the second fraction from the numerator of the first.




Multiplying & Dividing Fractions

Multiply the numerators and denominators separately to get the result, For example, when you multiply 1/2 and 1/3, you will get 1/6 (1 times 1 over 2 times 3). It's not necessary to find a common denominator when multiplying. Reduce or convert the result if you can.



To divide fractions, turn the second fraction upside down, the multiply them together., For example, if you want to divide 1/2 by 1/3, first rewrite the equation so the second fraction is 3/1.




Reduce the fraction if you can by dividing the numerator and denominator by the same number.

For example, a fraction such as 5/6 can't be reduced, but 3/6 can be reduced to 1/2 by dividing both halves by 3.



[guru_bro]

22 years old but learnt something new today

[nsdwastaken]

Wow this teacher is great...without him I couldn't find any other math teacher

[HVS]

I'm glad I found your video. Regards...

[aniecyaprice]

Your are the best math teacher q nobody but you help me thank you so much

[shannkyddvillonancheta]

Im so happy i found this channel, i wish you were my teacher or i will met you someday😭😭😭😊🤗🤗 thank you

[Sai-tek]

Hi Jason I like your teaching style a lot breaking down the concepts and explaining them beautifully. I request you to launch special streaming membership access pricing for the Indian market if possible. I'm sure many would love to be your students.

[shehanivihanga]

thank you so much teacher.it was a great lesson

[thunderstorm]

All these teachings are well explained even your electrical teachings thanks a million Jason

[hanahnuamzakimnah]

Thank you for the lesson. Please make a lot of math video.

[deenonline-k]

Good explanation of fraction I have ever seen..

[nancynilson]

Hi teacher..
In music each tune is equal to 9 stacks or you can call them 9 slashes. So if the tune is divided into 4 quarters and then we take 3/4 out of the 4/4 then we add to the 3/4 half of 1/4 what is the number we get and how many slashes out of the 9 slashes that will be?
Thanks

[YannMeersseman-hqtq]

Excellent, thank you! A suggestion if I may: it might be useful to clarify that, in all cases, you are cutting the shapes in a number of EQUAL or IDENTICAL pieces.

[BeerkegGarage]

Thank you for your videos! They are very helpful especially as I start homeschooling this year

[hestiaa]

In what order should we view your fractions videos?

[luzbantilo]

👏👏👏👏💚💚💚 thank very big so much for teaching

[infinitecorners]

thank you very very much now i understand

[XxxXxx-gqqy]

you are well aware of your content, good quality and you show good preparation as well...I enjoyed the lecture thank you very much

[bringyoutotheworld]

That is great guys I am glad that you all like him I like him too you are awesome Jason

[drabdukadirosman]

Thanks dear teacher for your good explained this lesson and i waitining the next lecture