Helpp I need it

Question

A Rectangularcardboard has an area of 41 2/3 in.² the width of the cardboard is 4 1/4 inches what is the length of the cardboard in inches. 😃😀😃😀😃

Answer 1

Area equals the length times the width

So that means we have:

41 ²/₃ = 4 ¹/₄ * length

 

Let's convert into improper fractions:

41 * 3 + 2 = 125

4 * 4 + 1 = 17

 

¹²⁵/₃ = ¹⁷/₄ * length

Multiply both sides by ⁴/₁₇:

¹²⁵/₃ * ⁴/₁₇ = ¹⁷/₄ * ⁴/₁₇ * length

The ¹⁷/₄ and ⁴/₁₇ cancel out:

¹²⁵/₃ * ⁴/₁₇ = length

^{125 * 4} / _{3 * 17} = length

⁵⁰⁰/₅₁ = length

 

I'll leave it to you to return that to a mixed number.