Question

express each shaded part as a decimal, as a percent, and as a fraction in simplest form.
23.
24.
25.

1. in mrs. hughes’s class \\( \frac{3}{5} \\) of the students voted to have tacos at their end of the year party. what percentage of students voted for tacos?
2. reasoning when dividing a number by 100, the decimal point is moved two places to the left. how does this relate to the conversion of a percent into a decimal?

Explanation:

Problem 23 (Assuming the grid is 10x10, total 100 squares, shaded squares count: let's say we count the shaded ones. For example, if shaded is 75 squares)

Step1: Count shaded squares

Assume shaded squares = 75 (since grid is 10x10=100). So decimal: $\frac{75}{100} = 0.75$

Step2: Convert to percent

$0.75\times100 = 75\%$

Step3: Simplify fraction

$\frac{75}{100} = \frac{3}{4}$ (divide numerator and denominator by 25)

Step1: Decimal

$\frac{20}{100} = 0.2$

Step2: Percent

$0.2\times100 = 20\%$

Step3: Fraction

$\frac{20}{100} = \frac{1}{5}$ (divide by 20)

Step1: Decimal

$\frac{30}{100} = 0.3$

Step2: Percent

$0.3\times100 = 30\%$

Step3: Fraction

$\frac{30}{100} = \frac{3}{10}$ (divide by 10)

Answer:

Decimal: $0.75$, Percent: $75\%$, Fraction: $\frac{3}{4}$

Problem 24 (Assume shaded squares: let's say 20)