Question

Solve the equation

5/4(a-8)= 2/3

a) 8 8/15
b) 8 2/3
c) 6 14/15
d) 7 1/15

Answer 1

Hi I can help you

Answer 2

Will you please?

Answer 3

do you know how to work this out or slove it?

Answer 4

not really. all i know is that reciprocal is used

Answer 5

okay what do you think your answer is before we start?

Answer 6

I honestly don't know. I was thinking probably b? 8 2/3?

Answer 7

okay lets start Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

5/4*(a-8)-(2/3)=0

Answer 8

got that part down?

Answer 9

yes

Answer 10

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Answer 11

okay

Answer 12

Find the Least Common Multiple

Answer 13

12?

Answer 14

but first wouldn't you do 5a-40/4 - 2/3? or would you do that after you find the LCM?

Answer 15

:d

Answer 16

he left denominator is : 4

The right denominator is : 3

Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 0 2
3 0 1 1
Product of all
Prime Factors 4 3 12

Least Common Multiple:
12

Answer 17

do you got that down?

Answer 18

yes, i know how to do the LCM of fractions.

Answer 19

Calculate multipliers for the two fractions <-- whats next

Answer 20

Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 3

Right_M = L.C.M / R_Deno = 4

Answer 21

ok

Answer 22

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