how do I write the following problem as equation? z divided by 3/4 = 4 1/4

Question

[z] /[3/4] = 4  1/4

Answer 1

z ÷ 3/4 = 4 1/4

 

z ÷ 3/4 = 17/4

 

z = 3/4 * 17/4 --->51/16 --->3 3/16

Answer 2

First, this expression must be correctly understood before solving it:

Let me explain:

 

1) IS THE DENOMINATOR [3/4] :                   [Z]/[3/4] = [4  1/4]

 

if this is the case, then the rule is as follows:

 

If the denominator is a FRACTION of the form A/B, as is SHOWN ABOVE(OUR A/B IS 3/4) then the following expression is the same:

 

(Z) * (4/3) = (4 1/4)

 

PLEASE NOTICE THAT THE DENOMINATOR, [3/4], Has been flipped(or reciprocated) and THEN multiplied by Z.

 

IS THIS WHAT YOU WANT SOLVED?

if IT IS then

 

you now have (4Z/3) = (4 1/4)

re-writing (4Z/3) = (17/4)

 

 

 

1. Multiply both sides by 3.  This yields 4z = [51/4]

2. DIVIDE BY 4. This yields Z = 51/16 = 3 3/16

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