Percent Worksheets - Free Printable

To solve this worksheet, we need to convert between fractions, decimals, and percents. Here is the rule for each conversion:

1. Fraction to Decimal: Divide the top number (numerator) by the bottom number (denominator). Since all denominators here are 100, you can just move the decimal point in the numerator two places to the left.
2. Decimal to Percent: Move the decimal point two places to the right and add a "%" sign.
3. Percent to Decimal: Remove the "%" sign and move the decimal point two places to the left.
4. Percent to Fraction: Write the percent number over 100.
5. Decimal to Fraction: Write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on decimal places, then simplify if needed. Since our target denominator is 100, just put the digits over 100.

Let's go through each row step-by-step:

Row a:
* Given: Fraction $\frac{15}{100}$, Decimal $.15$
* To find Percent: Take the decimal $.15$, move the decimal two spots right $\rightarrow 15$. Add % sign.
* Result: $15\%$

Row b:
* Given: Fraction $\frac{73}{100}$, Percent $73\%$
* To find Decimal: Take the percent $73$, move decimal two spots left $\rightarrow .73$. Or take fraction $\frac{73}{100} = 0.73$.
* Result: $.73$

Row c:
* Given: Percent $39\%$
* To find Decimal: Move decimal two spots left $\rightarrow .39$.
* To find Fraction: Put 39 over 100 $\rightarrow \frac{39}{100}$.
* Results: Fraction $\frac{39}{100}$, Decimal $.39$

Row d:
* Given: Fraction $\frac{4}{100}$
* To find Decimal: $\frac{4}{100} = 0.04$. (Note: The decimal must have two places because it's out of 100).
* To find Percent: Move decimal two spots right $\rightarrow 4\%$.
* Results: Decimal $.04$, Percent $4\%$

Row e:
* Given: Decimal $.77$
* To find Percent: Move decimal two spots right $\rightarrow 77\%$.
* To find Fraction: Put 77 over 100 $\rightarrow \frac{77}{100}$.
* Results: Fraction $\frac{77}{100}$, Percent $77\%$

Row f:
* Given: Percent $46\%$
* To find Decimal: Move decimal two spots left $\rightarrow .46$.
* To find Fraction: Put 46 over 100 $\rightarrow \frac{46}{100}$.
* Results: Fraction $\frac{46}{100}$, Decimal $.46$

Row g:
* Given: Fraction $\frac{50}{100}$
* To find Decimal: $\frac{50}{100} = 0.50$ or just $.5$.
* To find Percent: Move decimal two spots right $\rightarrow 50\%$.
* Results: Decimal $.5$ (or $.50$), Percent $50\%$

Row h:
* Given: Decimal $.06$
* To find Percent: Move decimal two spots right $\rightarrow 6\%$.
* To find Fraction: Put 6 over 100 $\rightarrow \frac{6}{100}$.
* Results: Fraction $\frac{6}{100}$, Percent $6\%$

Row i:
* Given: Percent $80\%$
* To find Decimal: Move decimal two spots left $\rightarrow .80$ or $.8$.
* To find Fraction: Put 80 over 100 $\rightarrow \frac{80}{100}$.
* Results: Fraction $\frac{80}{100}$, Decimal $.8$ (or $.80$)

Row j:
* Given: Fraction $\frac{26}{100}$
* To find Decimal: $\frac{26}{100} = .26$.
* To find Percent: Move decimal two spots right $\rightarrow 26\%$.
* Results: Decimal $.26$, Percent $26\%$

Final Answer:
a. percent: 15%
b. decimal: .73
c. fraction: $\frac{39}{100}$, decimal: .39
d. decimal: .04, percent: 4%
e. fraction: $\frac{77}{100}$, percent: 77%
f. fraction: $\frac{46}{100}$, decimal: .46
g. decimal: .5 (or .50), percent: 50%
h. fraction: $\frac{6}{100}$, percent: 6%
i. fraction: $\frac{80}{100}$, decimal: .8 (or .80)
j. decimal: .26, percent: 26%