Question

1-46. look at the representations shown in the math notes box for this lesson (
epresentations of portions\). copy the diagrams below and write a fraction and a percent for the shaded portion of each one. homework help

Explanation:

Step1: Analyze first set of circles

There are 4 circles in total and 1 is shaded. The fraction is $\frac{1}{4}$.

Step2: Convert fraction to percent for circles

To convert $\frac{1}{4}$ to a percent, we use the formula $\text{Percent}=\frac{\text{Part}}{\text{Whole}}\times100\%$. So $\frac{1}{4}\times100\% = 25\%$.

Step3: Analyze triangles

There are 2 triangles. The first is fully - shaded and the second is half - shaded. The total number of equal parts is 2 (since we consider the second triangle as 2 half - parts), and the number of shaded parts is 1 + 0.5=1.5. The fraction is $\frac{1.5}{2}=\frac{3}{4}$.

Step4: Convert fraction to percent for triangles

Using the percent formula, $\frac{3}{4}\times100\% = 75\%$.

Answer:

For the circles: Fraction is $\frac{1}{4}$, Percent is 25%.
For the triangles: Fraction is $\frac{3}{4}$, Percent is 75%.