Question

5.5 practice for use after lesson 5.5 use a 10 - by - 10 grid to model the percent. 1. 43% 2. 89% write the percent as a fraction or mixed number in simplest form. 3. 55% 4. 140% 5. 12.5% 6. 0.6%

Explanation:

Problem 3: 55% as a fraction or mixed number

Step 1: Recall percent to fraction conversion

A percent is a ratio out of 100, so \( 55\% = \frac{55}{100} \).

Step 2: Simplify the fraction

Find the greatest common divisor (GCD) of 55 and 100, which is 5. Divide numerator and denominator by 5:
\( \frac{55 \div 5}{100 \div 5} = \frac{11}{20} \).

Problem 4: 140% as a fraction or mixed number

Step 1: Convert percent to fraction

\( 140\% = \frac{140}{100} \).

Step 2: Simplify and convert to mixed number

Simplify \( \frac{140}{100} \) by dividing numerator and denominator by 20: \( \frac{140 \div 20}{100 \div 20} = \frac{7}{5} \).
Convert \( \frac{7}{5} \) to a mixed number: \( 1 \frac{2}{5} \).

Problem 5: 12.5% as a fraction or mixed number

Step 1: Convert decimal percent to fraction

\( 12.5\% = \frac{12.5}{100} \). Multiply numerator and denominator by 10 to eliminate the decimal: \( \frac{12.5 \times 10}{100 \times 10} = \frac{125}{1000} \).

Step 2: Simplify the fraction

GCD of 125 and 1000 is 125. Divide numerator and denominator by 125:
\( \frac{125 \div 125}{1000 \div 125} = \frac{1}{8} \).

Problem 6: 0.6% as a fraction or mixed number

Answer:

s:

1. \( \boldsymbol{\frac{11}{20}} \)
2. \( \boldsymbol{1 \frac{2}{5}} \)
3. \( \boldsymbol{\frac{1}{8}} \)
4. \( \boldsymbol{\frac{3}{500}} \)