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Convert 3 3/5 to Improper Fraction, convert 0.45 to a Fraction in its Lowest Form, Express 75% as a percentage, Convert 85% to a Fraction in its Lowest form, Arrange in ascending order, Express 3/8 as decimal.
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- Convert to an improper fraction.
Multiply the whole number by the denominator and add the numerator.
$$ 3 \frac{3}{5} = \frac{(3 \times 5) + 3}{5} $$Simplify the expression.
$$ 3 \frac{3}{5} = \frac{15 + 3}{5} = \frac{18}{5} $$ The improper fraction is $\boxed{\frac{18}{5}}$.2. Convert 0.45 to a fraction in its lowest form.
Write the decimal as a fraction with a denominator of 100.
$$ 0.45 = \frac{45}{100} $$Find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 45 and 100 is 5.
Divide both the numerator and the denominator by their GCD.
$$ \frac{45 \div 5}{100 \div 5} = \frac{9}{20} $$ The fraction in its lowest form is $\boxed{\frac{9}{20}}$.3. Express as a percentage.
To convert a fraction to a percentage, multiply by .
$$ \frac{7}{50} \times 100\% $$Perform the multiplication.
$$ \frac{7}{50} \times 100\% = 7 \times \frac{100}{50}\% = 7 \times 2\% = 14\% $$ $\frac{7}{50}$ as a percentage is $\boxed{14\%}$.4. Convert to a fraction in its lowest form.
Write the percentage as a fraction with a denominator of 100.
$$ 85\% = \frac{85}{100} $$Find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 85 and 100 is 5.
Divide both the numerator and the denominator by their GCD.
$$ \frac{85 \div 5}{100 \div 5} = \frac{17}{20} $$ The fraction in its lowest form is $\boxed{\frac{17}{20}}$.5. Arrange in ascending order.
Find a common denominator for all fractions.
The least common multiple (LCM) of $5, 10, 2, 5$ is 10.
Convert each fraction to an equivalent fraction with a denominator of 10.
$$ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} $$ $$ \frac{7}{10} $$ $$ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} $$ $$ \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} $$Compare the numerators and arrange the fractions in ascending order.
$$ \frac{5}{10}, \frac{6}{10}, \frac{7}{10}, \frac{8}{10} $$Write the original fractions in ascending order.
$$ \frac{1}{2}, \frac{3}{5}, \frac{7}{10}, \frac{4}{5} $$ The fractions in ascending order are $\boxed{\frac{1}{2}, \frac{3}{5}, \frac{7}{10}, \frac{4}{5}}$.6. Express as a decimal.
Divide the numerator by the denominator.
$$ \frac{3}{8} = 3 \div 8 $$Perform the division.
$$ 3 \div 8 = 0.375 $$ $\frac{3}{8}$ as a decimal is $\boxed{0.375}$.
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