Question

diagnostic math assessment
9 write each of the improper fraction as a mixed number
12/5 8/6 14/8
10a circle the two equivalent fractions
10b write the two equivalent fractions using fractional notation from above
11 write the amount in each money - collection below using both words and numbers
amount of money (using numbers)
using words

Explanation:

Step1: Convert improper fractions to mixed - numbers

For $\frac{12}{5}$, divide 12 by 5. $12\div5 = 2$ with a remainder of 2. So $\frac{12}{5}=2\frac{2}{5}$.
For $\frac{8}{6}$, divide 8 by 6. $8\div6 = 1$ with a remainder of 2. So $\frac{8}{6}=1\frac{2}{6}=1\frac{1}{3}$.
For $\frac{14}{8}$, divide 14 by 8. $14\div8 = 1$ with a remainder of 6. So $\frac{14}{8}=1\frac{6}{8}=1\frac{3}{4}$.

Step2: Identify equivalent fractions

Let's assume the first rectangle is divided into 3 parts and 1 is shaded, fraction is $\frac{1}{3}$. The second rectangle is divided into 6 parts and 2 are shaded, fraction is $\frac{2}{6}=\frac{1}{3}$. The third rectangle is divided into 9 parts and 3 are shaded, fraction is $\frac{3}{9}=\frac{1}{3}$. The fourth rectangle is divided into 6 parts and 2 are shaded, fraction is $\frac{2}{6}=\frac{1}{3}$. Equivalent fractions could be $\frac{1}{3}$ and $\frac{2}{6}$ (answers may vary depending on exact shading).

Step3: Calculate the money amount

There are 5 one - hundred dollar bills ($5\times100 = 500$), 2 twenty - dollar bills ($2\times20=40$), 1 ten - dollar bill ($1\times10 = 10$), and 4 two - dollar coins ($4\times2 = 8$).
The total amount in numbers is $500 + 40+10 + 8=558$.
In words, it is five hundred fifty - eight dollars.

Answer:

1. $\frac{12}{5}=2\frac{2}{5}$, $\frac{8}{6}=1\frac{1}{3}$, $\frac{14}{8}=1\frac{3}{4}$

10a. (Answers vary depending on shading, e.g., if first and second rectangles are considered) The two equivalent fractions are the ones representing $\frac{1}{3}$ and $\frac{2}{6}$
10b. $\frac{1}{3}$ and $\frac{2}{6}$

1. Amount of Money (using numbers): 558

Using Words: five hundred fifty - eight dollars