Convert any fraction to decimals with simple division. To donate to the tecmath channel:paypal.me/tecmath To support tecmath on Patreon: / tecmath To buy tecmath mechandise: teespring.com/...
3 / 4 : to change any number divided by 4 to a decimal; multiply the number by 25 and move the decimal 2 places to the left 3 * 25 = 75.00 moving the decimal 2 places to the left gives 0.75
yes. to complete your answer, you dont always have to multiply by 25. it can be a different number. for example, you could've just multiplied by 1/4 (or divided by 4) to get 0.75/1. or you could just multiply by 2.5 (and get 7.5/10, which is still 0.75). despite all that, the method you use is more general, as more people find it as the easiest. A complete answer to your method can be proven algebrically: let x be 100/denominator (in this case 4, meaning x=100/4, or 25). multimply both the numerator and the denominator by x (25) and get 75/100 when you divide by 100, you just shift the number 2 spaces to the right, so you get 0.75/1, or just 0.75 as your answer. Another example: let's do 7/15 first, we'll use the general method: 100/15 = 6 and 2/3, or just 6.6 recurring. multimply both sides of the fraction by that and get 46.66.../100. when we divide by 100, we shift the number two squares to the right, so this becomes 46.66666..., and that is our answer. Now, doing that the calculator way, just type 7/15 and it'll give you the answer. there ya go
In elementary school we did it top down and wasted a lot of trees doing so. I have never seen this elegant left to right division in over 30 years of math.
Relearning my math skills for my upcoming Asvab and you are making this easier than the first time in school! Amazing teaching ability. Watched two of your videos so far and I am very grateful. Thank you man!
You'd do 5)6 instead of 6)5 but the process would be the same. How many 5s are in 6? You have 1 with 1 remaining,. So, you'd have 1 as the first digit. Then as usual you put a decimal points, and add a 0 after the decimal point in the dividend (the number we are dividing), i.e. the 6, to get 6.0, and then put the remainder of 1 just above that 0. Then we carry on as normal. How many 5s are in 10? There's 2, with no remainder. Therefore, you have 6/5 = 1.2
Any number divided by 8 can be done by multiplying the number by 125 and moving the decimal 3 places to the left 3 / 8 = ? 3*125 = 375 So 3 / 8 = 0.375
Ya know?! This is the same as everyone I know has been taught in school. Granted, the format is modified so as to take up less space, but I don’t see an impact on the time it takes to perform the calculation. If people don’t do it as in this video (or with the alternate ~”drop down” format) then I would be interested in seeing their method.
The way you did 2/7 is a big fail. You had a chance to show that the decimal will eventually repeat, and with periodicity that is no more than value of denominator.
Exactly. He should have at least gone to 6 or 7 decimal places. Eventually you'd end up with 7)2.²0⁶0⁴0⁵0¹0³0(²0⁶0⁴0⁵0¹0³0...) on the bottom, and 0.285714(285714...) on the top.
If this is so easy and straight forward, why do they teach kids long-division? What's the benefit to that? 🤔 It's basically the same thing, but takes up more space and feels like a lot more work than this, which you can do in your head. 🤦
Or you can abandon the hopelessly outdated fractional based measurement system you insist on using and join the rest of the world. With the metric system, you never have to use fractions, only decimals.
"Metric" has nothing to do with "fractions" or a "lack of fractions". Let me demonstrate a very very scary concept. "1/4 kilgrams". Look... it's a metric unit.... and a fraction? WHAT?
This guy taught me more in 7 mins than school my whole life, thank you
I appreciate education so much more as an adult. I never really understood when I was a child.
3 / 4 : to change any number divided by 4 to a decimal; multiply the number by 25 and move the decimal 2 places to the left
3 * 25 = 75.00
moving the decimal 2 places to the left gives 0.75
yes. to complete your answer, you dont always have to multiply by 25. it can be a different number. for example, you could've just multiplied by 1/4 (or divided by 4) to get 0.75/1. or you could just multiply by 2.5 (and get 7.5/10, which is still 0.75). despite all that, the method you use is more general, as more people find it as the easiest.
A complete answer to your method can be proven algebrically:
let x be 100/denominator (in this case 4, meaning x=100/4, or 25).
multimply both the numerator and the denominator by x (25) and get 75/100
when you divide by 100, you just shift the number 2 spaces to the right, so you get 0.75/1, or just 0.75 as your answer.
Another example:
let's do 7/15
first, we'll use the general method: 100/15 = 6 and 2/3, or just 6.6 recurring. multimply both sides of the fraction by that and get
46.66.../100. when we divide by 100, we shift the number two squares to the right, so this becomes 46.66666..., and that is our answer.
Now, doing that the calculator way, just type 7/15 and it'll give you the answer. there ya go
In elementary school we did it top down and wasted a lot of trees doing so. I have never seen this elegant left to right division in over 30 years of math.
Teachers spend the whole semester teaching us this, and this man took less then 3 min for me to understand how to do it, thx man!
Frrrrrrrrrrrrr
Relearning my math skills for my upcoming Asvab and you are making this easier than the first time in school! Amazing teaching ability. Watched two of your videos so far and I am very grateful. Thank you man!
Great technique ❤👏👏
Easy to learn when ur teaching
Just want to say thanks for all your videos. I passed my level 2 exam via learning through this channel.
Even Most of the Maths teachers in school doesn't know this. Great way of teaching.
Straight forward. I hated math in high school. Now have a “New” appreciation for math & all thanx to Josh.
Excellent shortcut for writing down the intermediate values.
Josh I love how you explain things my man... 🙏🏽 Just one query though. You said 3/4 but wrote or showed it as 4/3 in the bus stop… ??? 0:47
It's good to see you are back in action after getting Covid. 😷
Thank you for speaking English ❤️
U can add calculation tips for Exams in JEE PCM...(other than tricks u have given in genral for maths)
San Francisco fan girl loves your CONTENT and short cuts! Where were you in my high school days?
you explained the process very well, thanks for sharing
I Really Fall in love with your teaching pattern
Thank you very much sir.please loud you tell me sir short trick for any digit numbers divicd by 11_19 numbers .god bless u
You're the absolute best!!!!
If teachers teached well like you we wouldn't have a whole system of kids failing their exams
how does this work if we want to show the remainder as a decimal?
Damn, What a great tip!
Can you do this but with higher numbers?
What do you do if the numbers are inverted like if it's not 5/6 but 6/5
You'd do 5)6 instead of 6)5 but the process would be the same.
How many 5s are in 6? You have 1 with 1 remaining,.
So, you'd have 1 as the first digit.
Then as usual you put a decimal points, and add a 0 after the decimal point in the dividend (the number we are dividing), i.e. the 6, to get 6.0, and then put the remainder of 1 just above that 0.
Then we carry on as normal.
How many 5s are in 10? There's 2, with no remainder.
Therefore, you have 6/5 = 1.2
6/5=
2/2,5
1/1,2
Wow I like this video.. I understand perfect,,💗💗💗
Thanks
Rip for the student still learn by school.teacher
Are you available for private tutoring ?
You are too good man 👍😀💖
You are amazing
What’s the reason for only giving the answer to 4 dp?
Bc it might get too long although in this case he only needed 7 decimals to get the whole number bc the rest it is the same 7 numbers repeating
Any number divided by 8 can be done by multiplying the number by 125 and moving the decimal 3 places to the left
3 / 8 = ?
3*125 = 375
So 3 / 8 = 0.375
✅
Can you do without division
But what if you have number like 1÷36 it dont work. 36 is much bigger than 10 what do i do 😢😢 did i miss something 😭
but why you writing those numbre between the zeros
👍👏
👍🏼
I came to this video looking for a way to easily compute fractions. Turns out I am just a lazy asshole. Who woulda thought?
Hey man you’re just like the rest of us.
Sorry, this is not "easily" as expected. This is elementary.
Ya know?! This is the same as everyone I know has been taught in school. Granted, the format is modified so as to take up less space, but I don’t see an impact on the time it takes to perform the calculation. If people don’t do it as in this video (or with the alternate ~”drop down” format) then I would be interested in seeing their method.
3/8
1/2,66
3/4
1/1,33
Wow.
I know this has nothing to do with the video, but i am also a Josh(ua)
Nothing can calm my nerves after the worst last two minutes of Super Bowl LVI.
coo
The way you did 2/7 is a big fail. You had a chance to show that the decimal will eventually repeat, and with periodicity that is no more than value of denominator.
Exactly. He should have at least gone to 6 or 7 decimal places.
Eventually you'd end up with 7)2.²0⁶0⁴0⁵0¹0³0(²0⁶0⁴0⁵0¹0³0...) on the bottom, and 0.285714(285714...) on the top.
2/7
1/3,5
If this is so easy and straight forward, why do they teach kids long-division? What's the benefit to that? 🤔 It's basically the same thing, but takes up more space and feels like a lot more work than this, which you can do in your head. 🤦
🧃
Please tell how large fraction numbers to decimal
Or you can abandon the hopelessly outdated fractional based measurement system you insist on using and join the rest of the world. With the metric system, you never have to use fractions, only decimals.
lol what?
"Metric" has nothing to do with "fractions" or a "lack of fractions".
Let me demonstrate a very very scary concept.
"1/4 kilgrams".
Look... it's a metric unit.... and a fraction? WHAT?