Help please..... ಥ‿ಥ

[MathBunny]

(A box of paper weighs 6 ⅔ ounces. Each box contains 1 ⅓ dozen sheets of paper. How much does each sheet of paper weigh?)

Pleaseee can someone help me? I'm having a hard time understanding this... I don't know what I'm doing wrong, especially cause it seems so simple. The answer section in my workbook is showing that I need to divide the 6 ⅔ by the 1 ⅓ and then divided again by 12, but I don't know how to get 12???? Can someone break it down for me with an explanation? And how can I better understand questions like this in the future? I would really appreciate it... ಥ‿ಥ

 

[Deleted member 4993]

(A box of paper weighs 6 ⅔ ounces. Each box contains 1 ⅓ dozen sheets of paper. How much does each sheet of paper weigh?)

Pleaseee can someone help me? I'm having a hard time understanding this... I don't know what I'm doing wrong, especially cause it seems so simple. The answer section in my workbook is showing that I need to divide the 6 ⅔ by the 1 ⅓ and then divided again by 12, but I don't know how to get 12???? Can someone break it down for me with an explanation? And how can I better understand questions like this in the future? I would really appreciate it... ಥ‿ಥ

Remember:

1 dozen sheets = 12 sheets

1 1/3 dozen = 4/3 dozen = (4/3) *12 sheets

 

[Dr.Peterson]

(A box of paper weighs 6 ⅔ ounces. Each box contains 1 ⅓ dozen sheets of paper. How much does each sheet of paper weigh?)

Pleaseee can someone help me? I'm having a hard time understanding this... I don't know what I'm doing wrong, especially cause it seems so simple. The answer section in my workbook is showing that I need to divide the 6 ⅔ by the 1 ⅓ and then divided again by 12, but I don't know how to get 12???? Can someone break it down for me with an explanation? And how can I better understand questions like this in the future? I would really appreciate it... ಥ‿ಥ

Their approach isn't the only way to do it; but what they did is to divide 6⅔ ounces per box by the 1⅓ dozen per box, to find the number of ounces per dozen, and then divide by 12 sheets per dozen to get ounces per sheet.

[MATH]\frac{\text{ounces}}{\text{box}}\div\frac{\text{dozen}}{\text{box}}\div\frac{\text{sheets}}{\text{dozen}}=\frac{\text{ounces}}{\text{sheet}}[/MATH]​

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[MATH]\frac{\text{ounces}}{\text{box}}\cdot\frac{\text{box}}{\text{dozen}}\cdot\frac{\text{dozen}}{\text{sheet}}=\frac{\text{ounces}}{\text{sheet}}[/MATH]​

This is called dimensional analysis (which has various other names; I recall decades ago I was taught it as the "label-factor methd" or something like that).

 

[MathBunny]

Thank you both soooo much. Im still having a difficult time with this cause it's new for me, but now I'm understanding a bit more. I appreciate the help