Question

1. write each mixed number as a percent and decimal

a. $1\frac{3}{5} = \underline{15\\%}$ = \underline{0.15}
b. $2\frac{4}{25} = \underline{\quad\quad\quad\quad} = \underline{\quad\quad\quad\quad}$

Explanation:

Step1: Convert mixed number to improper fraction (for part a)

To convert \(1\frac{3}{5}\) to an improper fraction, we use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). So, \(1\frac{3}{5}=\frac{1\times5 + 3}{5}=\frac{8}{5}\).

Step2: Convert improper fraction to decimal (for part a)

To convert \(\frac{8}{5}\) to a decimal, we divide 8 by 5. \(8\div5 = 1.6\).

Step3: Convert decimal to percent (for part a)

To convert a decimal to a percent, we multiply by 100 and add the percent sign. So, \(1.6\times100 = 160\%\).

Step4: Convert mixed number to improper fraction (for part b)

For \(2\frac{4}{25}\), using the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\), we get \(\frac{2\times25+4}{25}=\frac{50 + 4}{25}=\frac{54}{25}\).

Step5: Convert improper fraction to decimal (for part b)

Divide 54 by 25. \(54\div25 = 2.16\).

Step6: Convert decimal to percent (for part b)

Multiply 2.16 by 100 to get the percent. \(2.16\times100=216\%\).

Answer:

a. \(1\frac{3}{5}=\boldsymbol{160\%}=\boldsymbol{1.6}\)
b. \(2\frac{4}{25}=\boldsymbol{216\%}=\boldsymbol{2.16}\)