Question

date: _____________ per: __ homework 9: fractions, decimals, & percents this is a 2 - page document! directions: complete the chart below.

	fraction	decimal	percent
1.	\\(\frac{3}{10}\\)	0.3	30%
2.	\\(\frac{2}{100}\\)	0.02

Explanation:

For the first row (Fraction $\boldsymbol{\frac{3}{10}}$):

Step 1: Convert Fraction to Decimal

To convert a fraction to a decimal, we divide the numerator by the denominator. For $\frac{3}{10}$, we do $3\div10 = 0.3$.

Step 2: Convert Decimal to Percent

To convert a decimal to a percent, we multiply the decimal by 100 and add the percent sign. For $0.3$, we do $0.3\times100 = 30\%$.

For the second row (Decimal $\boldsymbol{0.02}$):

Step 1: Convert Decimal to Fraction

The decimal $0.02$ can be written as $\frac{2}{100}$ (since the 2 is in the hundredths place). We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So $\frac{2\div2}{100\div2}=\frac{1}{50}$.

Step 2: Convert Decimal to Percent

To convert $0.02$ to a percent, we multiply by 100: $0.02\times100 = 2\%$.

Completed Chart:

	Fraction	Decimal	Percent
2	$\frac{1}{50}$ (or $\frac{2}{100}$)	$0.02$	$2\%$

If you need help with other rows (if there are more), please provide the given values for those rows.

Answer:

For the first row (Fraction $\boldsymbol{\frac{3}{10}}$):

Step 1: Convert Fraction to Decimal

To convert a fraction to a decimal, we divide the numerator by the denominator. For $\frac{3}{10}$, we do $3\div10 = 0.3$.

Step 2: Convert Decimal to Percent

To convert a decimal to a percent, we multiply the decimal by 100 and add the percent sign. For $0.3$, we do $0.3\times100 = 30\%$.

For the second row (Decimal $\boldsymbol{0.02}$):

Step 1: Convert Decimal to Fraction

The decimal $0.02$ can be written as $\frac{2}{100}$ (since the 2 is in the hundredths place). We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So $\frac{2\div2}{100\div2}=\frac{1}{50}$.

Step 2: Convert Decimal to Percent

To convert $0.02$ to a percent, we multiply by 100: $0.02\times100 = 2\%$.

Completed Chart:

	Fraction	Decimal	Percent
2	$\frac{1}{50}$ (or $\frac{2}{100}$)	$0.02$	$2\%$

If you need help with other rows (if there are more), please provide the given values for those rows.