7/120 + 1/48 = ? How to Add The Fractions and Find The LCD - BASIC MATH!
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- Опубликовано: 17 окт 2024
- How to add fractions and find the LCD (lowest common denominator) basic math skills. Learn more math at TCMathAcademy.....
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I send this sum to a friend and he came with a very nice solution:
the denominators can be divided by 12 so 1/12 . 7/10 + 1/12 . 1/4 = 1/12 . (14/20 + 5/20) = 1/12 . 19/20 = 19/240
Nice !
I took the long way to arrive at 19/240.
(1) multiply both denominators 120 x 48 = 5760
(2) multiply each numerator (a) 7 x 48 = 336 (b) 1 x 120 = 120
(3) restate the equation as 336/5760 + 120/5760 = 456/5760
(4) to find LCD divide answer by 4 = 114/1440
(5) then divide answer by 2 = 57/720
(6) then divide answer by 3 = 19/240.
You can always multiple each dominator by the other dominator . Won't necessarily be the LCD but always works and them just simplify afterwards.
You make it far more complicated than necessary. I did it in my head in a few seconds.
Like your content. Good for the brain.
Thanks
19/240 - reasoning...find a number to multiply by 8 that results in a zero...that would be 5 x 8 = 40, so 5 x 48 = 240. That just happens to be 2 times 120, so 14/240 + 5/240 = 19/240
Me too
That’s how I did it too
I did it in my head in 0.25 seconds while dancing the fox-trot in a wet-suit... Half an hour before the video was uploaded. Just thought I'd mention that, since it seems to be the done thing to brag about such matters.
Sheesh!
You get an elephant stamp but your missing the point of these videos . So clever solve the worlds problems too😅
@@Sw-nv4hw I think you missed the point of my comment.
You may be right i may be crazy. My dad was a gun at math me well.. i was dreaming of butterflies and rainbows. He was long winded and my concentration span was about one minute. Thank you this is important sorry if i got you wrong.😊
Good refresher.
if you had 2^2, 3^2, wouldn't you ignore a 2 or 3 on either side, since 2 is 2^1 and 3 is 3^1?
Thank you
Is a PIA but adding two fractions requires a COMMON.(=same) denominator.
7/120 + 1/48
120=10×12
48=4×12
10=2×5
4=2×2
the common denominator is
12×2×2×5 = 240
so
240/240× {7/120 + 1/48)
=(2×7)/240 +(5×1)/240
=14/240 + 5/240
=19/240
How can you expect us to watch a long video to check our 19/240 answer we got in under 5 seconds?
You don't need to watch the whole video if you just want to check your answer. He always states the answer at the start, before he goes into the explanation.
I did it in my head, but it’s at my limits as I struggled to remember, compare & eliminate the common prime factors of 120 & 48! Once I figured out they have an LCD of 240, life got simple.😊
I know he's talking about the LCD here, but if you're doing it in your head remember that you don't need to find the LCD. Any convenient common denominator will do, and then you can simply the resulting fraction at the end.
120 = 10 . 12 = 5 . (2 . 3 . 2 . 2) and 48 = 4 . 12 = 2 . (2 . 3 . 2 . 2) so the LCD = 120 . 2 = 240
So 14/240 + 5/240 = 19/240
Extremely simple oral maths. 7/120=7/(24×5) & 1/48=1/(24×2)
Next (7x2)/(24×5×2) & (1×5)/(24×2×5)
Finally (14+5)/240=19/240
In less than 15 seconds. 😅
When adding fractions, the first step is to make sure they have the same denominator. To do this, you multiply each fraction by 1 in a way that keeps the fraction’s value the same but changes the denominator. For example, we’ll multiply the first fraction, 7/120, by 48/48, and the second fraction, 1/48, by 120/120. This gives both fractions a common denominator of 5760.
So, 7/120 becomes 336/5760, and 1/48 becomes 120/5760. Now that they have the same denominator, we can add the two numerators. This gives us 456/5760.
Finally, we simplify 456/5760 by dividing both the top and bottom by 24 (their greatest common divisor), which gives us the final answer simplified as 19/240.
---
Math Breakdown:
1. Original problem: (7/120) + (1/48)
2. Multiplying to get a common denominator: (7/120) * (48/48) + (1/48) * (120/120)
3. New fractions: (336/5760) + (120/5760)
4. Adding the fractions: (336/5760) + (120/5760) = (456/5760)
5. Simplified result: (456/5760) ÷ 24 simplifies to (19/240)
I love me some good ol' fraction math LOL
Which also simplifies to 0.07916666666666666.... 😅
The problem here is the huge numbers if you choose to bowtie the fractions. I will always first simplify fractions and then use the LCD to avoid these huge numbers.
@@panlomito could you explain the bowtie method?
@@Like_An_Eagle
a c ad + bc
---- + --- = ------------
b d bd
I worked that out in my head. All you need is a common denominator which is 240
7/120 + 1/48
LCD: 2⁴ × 3 × 5 = 240
14/240 + 5/240 =19/240
Cooll also 1/24{7/5+1/2}=1/24{14+5/10}=19/240..
120/8=15
15*48=720
6*120=720
so we have 42 over 720 added to 15 over 720 =
57 over 720 =
19 over 240
Get the denominator the same for both number they both go
You went up..I went down to six x 20 then six x six 48.
10/15/2024 9:19 PM
Find the LCD of 120 & 48 [PRIME FACTORIZATION]
120 -> [2] x 60 -> [2] x 30 -> [2] x 15 -> [3] x [5] , 120 = 2 x 2 x 2 x 3 x 5 = 2³ x 3 x 5
48 -> [2] x 24 -> [2] x 12 -> [2] x 6 -> [2] x [3] , 48 = 2 x 2 x 2 x 2 x 3 = 2⁴ x 3
prime factors with the highest power(exponent) of the two numbers : 2⁴ x 5 x 3 = 16 x 5 = 240 LCD
Adjust numerators for common denominator:
For the first term : 240 / 120 * 7 = 14
For the second term : 240 / 48 * 1 = 5
[14 / 240] + [5 / 240] = [19 / 240] ---> ANS
i calculated in my head in 30 second that 48 x2.5 is 120 end from there in 5 seconds more that 19/240 is the answer
got 19/240 LCD is 240 it's 120 X 2 and 48 X 5 thanks for the fun.
Jezz did it in my head, the LCD had to be a factor of 120 and divisible by 48, so either120, 240, 360 basic maths says 48 goes into 240 five times so 240 is the LCD, the rest is easy.
Ans=7/120 +1/48. LC M=240 now. 7×2/240+1×5/249=19/240.
176/ 5760
19/240
👍
❤❤
Try to find the lowest common denominator and that simplifies it. 7/120 = 14/240 1/48= 5/240 14/240+5/240= 19/240
My answer is 19/240
I have forgotten this math LCD
1/20
19/240 . 19 is prime so can't cancel down anymore
keep it simple....0.079!
14/240 + 5/240….
Not sure how this happened
The cleverest way to do things is to express yourself with the least possible words or numbers. So if you go through the comments you’ll see who is the ones.
Fewest.
I know it's supposedly a faux pas to mix decimals and fractions, but I do all the time to solve these things in my head.
I see a 120 and a 48 and I immediately think "12". So, 1/48 becomes 0.25/12, which then becomes 2.5 / 120. This gives you 7+2.5 / 120 = 9.5 / 120. Now you fix the faux pas, by doubling both numerator & denominator, and, voila, 19/240.
exactly
At least you addmit to your mistakes😡
admit*
@@luna_belle5029 Adding to his admission.
👍👏🙏💪😎🌎
1/10...😊
Sorry but you made a meal of that, enough to put people off, there was an easy 2 minute solution to this
7 1
-- + --
120 48
Finding the Least Common Denominator of 120 and 48 :
24 x 5 x 2= 240
7 14
-- = --
120 240
1 5
-- = ---
48 240
14 5
-- + --
240 240
19
---
240
19/240
19 / 240
19/240
19/240
19/240
19/240