Questions: Write each percent as a lowest terms. 17) 23% 19) 210% Write each percent as a fraction, then write the percent as a decimal. 21) 42.5% 23) 43.75% Write each percent as a fraction. 25) 26 2/3% Write the fraction as a percent with a denominator of 100. 27) 11/20 29) 49/50

$Write each percent as a lowest terms. 17) 23% 19) 210% Write each percent as a fraction, then write the percent as a decimal. 21) 42.5% 23) 43.75% Write each percent as a fraction. 25) 26 2/3% Write the fraction as a percent with a denominator of 100. 27) 11/20 29) 49/50$

Transcript text: Write each percent as a lowest terms. 17) $23 \%$ 19) $210 \%$ Write each percent as a fraction, then write the percent as a decimal. 21) $42.5 \%$ 23) $43.75 \%$ Write each percent as a fraction. 25) $26 \frac{2}{3} \%$ Write the fraction as a percent with a denominator of 100. 27) $\frac{11}{20}$ 29) $\frac{49}{50}$

Solution

Solution Steps

To solve the given problems, we will follow these approaches:

Convert Percent to Fraction in Lowest Terms: For each percent, convert it to a fraction by dividing by 100, and then simplify the fraction to its lowest terms.
Convert Percent to Decimal: For each percent, convert it to a decimal by dividing by 100.
Convert Mixed Number Percent to Fraction: Convert the mixed number percent to an improper fraction, then divide by 100 and simplify.
Convert Fraction to Percent: Convert the given fraction to a percent by finding an equivalent fraction with a denominator of 100.

Step 1: Convert 23% to Fraction

To express $ 23\% $ as a fraction, we write it as: \[ \frac{23}{100} \] This fraction is already in its lowest terms.

Step 2: Convert 210% to Fraction

For $ 210\% $, we convert it to a fraction: \[ \frac{210}{100} = \frac{21}{10} \] This fraction is also in its lowest terms.

Step 3: Convert 42.5% to Decimal

To convert $ 42.5\% $ to a decimal, we divide by 100: \[ 42.5\% = 0.425 \]

Step 4: Convert 43.75% to Decimal

Similarly, for $ 43.75\% $: \[ 43.75\% = 0.4375 \]

Step 5: Convert 26 2/3% to Fraction

To convert the mixed number $ 26 \frac{2}{3}\% $ to a fraction, we first convert it to an improper fraction: \[ 26 \frac{2}{3} = \frac{80}{3} \] Then, we express it as a fraction of 100: \[ \frac{80}{3} \times \frac{1}{100} = \frac{80}{300} = \frac{4}{15} \]

Step 6: Convert $\frac{11}{20}$ to Percent

To convert the fraction $ \frac{11}{20} $ to a percent, we multiply by 100: \[ \frac{11}{20} \times 100 = 55 \]

Step 7: Convert $\frac{49}{50}$ to Percent

For the fraction $ \frac{49}{50} $: \[ \frac{49}{50} \times 100 = 98 \]