Chapter 0, Problem 20POT

To determine

To calculate: The fraction of sheet do Sara and Gabe have together, with Sara has $\frac{2}{7}$ of the sheet and Gabe has $\frac{1}{4}$ of the sheet.

Answer to Problem 20POT

The fraction of sheet do Sara and Gabe have together is $\frac{15}{28}$ of the sheet.

Explanation of Solution

Given information:

It is given that Sara has $\frac{2}{7}$ of the sheet and Gabe has $\frac{1}{4}$ of the sheet.

Formula used:

The addition of two or more terms is denoted by $+$ sign that is if two terms are separated by $+$ then they are added up together.

Calculation:

Consider the provided expression, Sara has $\frac{2}{7}$ of the sheet and Gabe has $\frac{1}{4}$ of the sheet. So, sheet for taking together is,

  $\frac{2}{7}+\frac{1}{4}$

Observe that the denominator is not same in both the rational numbers, so take the lowest common multiple of denominators 7 and 4 as 28.

  $\begin{array}{c}\frac{2}{7}+\frac{1}{4}=\frac{\left(2\times 4\right)+\left(1\times 7\right)}{28}\\ =\frac{8+7}{28}\\ =\frac{15}{28}\end{array}$

The above expression cannot be simplified further.

Therefore, the fraction of sheet do Sara and Gabe have together is $\frac{15}{28}$ of the sheet.