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- anonymous

i need help Find the lowest common denominator for the fractions shown

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- anonymous

i need help Find the lowest common denominator for the fractions shown

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- anonymous

|dw:1352915488730:dw|

- anonymous

i need help

- anonymous

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- anonymous

sure

- anonymous

yeah bro

- anonymous

17 goes into both 51 and 85...

- anonymous

\[8/51 19/85\] Find the lowest common denominator for the fractions shown

- anonymous

yeah but wouldn't you find a multiple that can go into both 51 and 85, then find the numerator...

- anonymous

51 factor=1,17,3
85factor=1,17,5
common=1

- anonymous

yeah i guess thats right... I thought he was trying to find the LCD...

- anonymous

yes sister

- anonymous

A;4,335
b;255
c;17

- anonymous

- anonymous

- anonymous

sorry im really busy and have to go soon (writing an english paper) hopefully someone else can help

- phi

I need help to find the lowest common denominator
of 51 and 85
the easiest way is to find the prime factors of each number
to do this, you should learn (memorize) the first few (as many as you can manage!) prime numbers:
2 3 5 7 11 13 17 19 23 29
Here is a longer
list http://www.mathsisfun.com/numbers/prime-numbers-to-10k.html
2nd, you should learn some rules for what numbers will evenly divide into another number. Try to learn these rules
http://www.mathsisfun.com/divisibility-rules.html
using the rule that if the sum of the digits is divisible by 3 then the number is divisible by 3 we figure out that 51 (digits 5+1=6 and 6/3 works) is divisible by 3. we get
3,17 From our list of prime numbers we know we have all the prime factors because 17 is prime
now find the prime factors of 85
from the rule that if a number ends in 0 or 5 it is divisible by 5. we divide 5 into 85 to get 17
5*17 are the prime factors of 85
we have
3*17 and 5*17
to find the least common denominator we take a combination
3*5*17 ( notice that 3*17 divides into this number and so does 5*17)
that is our common denominator
now do your problem
\[ \frac{8}{3\cdot 17}+\frac{19}{5\cdot17} \]
you need to multiply the bottom of the 1st fraction by 5 to get the common denominator. And mult the bottom of the 2nd fraction by 3:
\[ \frac{8}{3\cdot 17}\cdot \frac{5}{5}+\frac{19}{5\cdot17}\cdot \frac{3}{3} \]
you get
\[ \frac{8\cdot 5}{3\cdot 5\cdot 17}+\frac{19\cdot 3}{3\cdot 5 \cdot17} \]
\[ \frac{8\cdot 5 +19\cdot 3}{3\cdot 5\cdot 17} \]
multiply 5*8 to get 40 and 3*19 to get 57
\[ \frac{40 + 57}{3\cdot 5\cdot 17} \]
add to get
\[ \frac{97}{3\cdot 5\cdot 17} \]
we should multiply out the denominator to get
\[ \frac{97}{255} \]

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