1 over (1 + 1 divided by (1 + 1/4)) = ? No Calculator - COMPLEX FRACTIONS & Basic Math!

[@panlomito]

Starting at the bottom: 1 + 1/4 = 5/4 stepping up 1 / 5/4 = 1 x 4/5 = 4/5 adding 1 so 5/5 + 4/5 = 9/5 stepping up 1 / 9/5 = 1 x 5/9 = 5/9

[@shipsahoy1793]

yes I could've explained it a lot faster than he did .. I probably could've explained it faster than it took you to type up and post your answer lol

[@argonwheatbelly637]

5/9 in about seven seconds in my head. Fun one.

[@calvinmasters6159]

9 seconds for me, or should I say 81/9 ?

[@poxyclypse]

That was very cool. I'd forgotten the dividing fractions into multiplication conversion. Gonna watch some of your quadratics vids.

[@frogandspanner]

This is the kind of question that was common in the 11+ exam in UK. That was an exam at age 11/12 (i.e. 11+) for entry to selective grammar schools.

[@Kualinar]

Got those in primary 4. So, around 11 years old. Québec in the 60's.

[@frogandspanner]

@@Kualinar We called it Junior 4 in UK - now we call it Year 6

[@Pootycat8359]

4/4 + 1/4 = 5/4. Reciprocal = 4/5. 5/5 + 4/5 = 9/5. Reciprocal = 5/9. Four easy steps!

[@Kualinar]

Solved those step fractions in primary school. A LOT of them. One that I had : 1+1/(1+1/(1+1/(1+1/(1+1/(1+1/(...)))))). Up to 15 levels deep. Then, replace the 1's by 2's, or alternate 1's and 2's, or some other variations. Also had some where the value before the «+» went up by one with each step. Then, I had some where you alternate between adding and subtracting. And, the teacher wanted us to give the answer as a decimal format. Got 2.7182818... for the one of them.

[@mariafridaki6270]

5/9 !!! I solved it!!!❤

[@davidseed2939]

use function machine method R means reciprocal 4_R_ +1_ R_ +1_.R 4 1/4 5/4 4/5 9/5 5/9 note that if you start with the golden ratio φ = (√5+1)/2 ≈ 1.618 then φ_R_+1= φ i think that’s the only number that is stable

[@gayschaye4600]

Good one

[@에스피-z2g]

P=given formula P=1/A A=1+B B=1/C C=1+1/4=5/4 B=4/5 A=1+4/5=9/5 P=5/9

[@vespa2860]

Nice way to break it down.

[@bigdog3628]

super simple: rewrite to 1 ÷ [1 + (1 + 1/4) ^ -1] 1 ÷ [1+ (5/4) ^ -1 1 ÷ [1 + 4/5] 1 ÷ 9/5 1 * 5/9 5/9 is the final answer Take it step by step and remember the rule of dividing by a fraction.

[@brianburke4409]

Converted to decimal and quickly divided to .555 (repeating) in less than a minute. But if a fraction was required, 5/9 is correct.

[@SM-ev3pv]

You are so right! My 2 year old grandson got it wrong.

[@jiyoungpark6233]

5/9...

[@robertstuart6645]

Was able to do it in my head. However, for more complex and and involved fractional problems, I would have to use pencil and paper, and suggest everyone do likewise to avoid mistakes.

[@johnshaw6702]

Fairly easy to do in your head if you know fractions. I use these for mental excise. I only watch them now if I'm not sure. I rarely do serious math unless I get curious and then I need to bush up a bit.

[@giannaleoci2328]

1/[1+1/(5/4)]= 1/(1+4/5)= 1/(9/5)=5/9

[@Pootycat8359]

9:00 Why not point out that to take the reciprocal of a ratio, flip it upside down? I solved that one in my head, in 10-15 sec. 😛

[@jamescoughlin6911]

How come the answer just jumped out. Looked thought and there it was!

[@SM-ev3pv]

How many?

[@topkatz58]

1 + ¼ = 5/4 1 ÷ 5/4 = 4/5 1 + 4/5 = 9/5 1 ÷ 9/5 = 5/9 Answer = 5/9

[@terrybaileysr.3714]

1 / 4 =0.25 why did you not just convert to decimal. The answer would then be .5556 or 5/9

[@dazartingstall6680]

Using fractions the problem basically boils down to flipping 5/4 to 4/5 then doing the same to 9/5 to get 5/9. The decimal version, 1/1.25 = 0.8 followed by 1/1.8 = 0.555... while not being horribly difficult, certainly isn't as easy, imo.

[@jimwetzel1635]

How about 5/9?

[@mathepunk]

You are so smart! Everybody else is stupid.

[@michelgobert7833]

1 minute is quite sufficient to calculate it mentally

[@francisdelpuech6415]

Me too!😊

[@transcendenceistaken]

5/9

[@russelllomando8460]

got 5/9 1 1/4 is 5/4 so 1 / (5/4) = 4/5 so 1 / (1 4/5) = 1 / (9/5) = 5/9 thanks for the fun

[@adgf1x]

?=4/9

[@TerribleChesss]

W teacher

[@rgrinnell]

2 1/4

[@petersearls4443]

5/ 9.

[@hakonamd495]

👌5/9

[@mohamedkhidirabdalla3262]

😮5/9

[@jald910]

5/9 Whoo Hoo

[@arisaka9963]

15 minutes to solve that? That’s a 30 second max problem in your head

[@dazartingstall6680]

Could you demonstrate it, with explanations for each step, in thirty seconds?

[@jald910]

I did it quickly in my head also, but the video is really for people who didn’t know how to do it.

[@deakin2880]

man was that ever made complicated. took me less than 30 seconds and that inc looking for my calculator

[@petersearls4443]

Oh not in your head?

[@terrillcrookshank4363]

I think the number 9 is the answer.

[@ethio1931]

Yahhhhhh i was right

[@casesusa]

I got .5555556

[@senseikivorkian]

you repeat yourself too much

[@guyreid8692]

Yeah , he’s ducking irritating.

[@sfeddie1]

Yep, he talks way too much and it takes forever to get to the solution. Very annoying. All the talk is very distracting. By the time he gets to the solution your head is ready to explode.

[@tonyagodwin41]

1/2

[@tonyagodwin41]

Wrong

[@mintusaren895]

It is downtoward.

[@dazartingstall6680]

1 + ¼ = ⁵⁄₄ 1/⁵⁄₄ = ⅘ 1 + ⅘ = ⁹⁄₅ 1/⁹⁄₅ = ⁵⁄₉

[@jetman551]

OMG, shoot me now! Please!

[@HypatiaK]

Stay on the process. Going on about your other programs typical errors , etc. is annoying.

[@josephlaura7387]

5/9

[@MattStMarie-bm5sq]

5/9

[@MrMackxl65]

5/9

[@rodfulford4306]

5/9

[@Ca_milo_G]

5/9