We read your photo as:

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.

Mathematics

ScanSolve AI Answer

Step-by-step solution

16 steps

Here are the solutions to your math problems:

  1. Convert 3353 \frac{3}{5} to an improper fraction.
  1. Multiply the whole number by the denominator and add the numerator.

    $$
    3 \frac{3}{5} = \frac{(3 \times 5) + 3}{5}
    $$
    
  2. 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.

  3. Write the decimal as a fraction with a denominator of 100.

    $$
    0.45 = \frac{45}{100}
    $$
    
  4. Find the greatest common divisor (GCD) of the numerator and denominator.

    The GCD of 45 and 100 is 5.

  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 750\frac{7}{50} as a percentage.

  6. To convert a fraction to a percentage, multiply by 100%100\%.

    $$
    \frac{7}{50} \times 100\%
    $$
    
  7. 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 85%85\% to a fraction in its lowest form.

  8. Write the percentage as a fraction with a denominator of 100.

    $$
    85\% = \frac{85}{100}
    $$
    
  9. Find the greatest common divisor (GCD) of the numerator and denominator.

    The GCD of 85 and 100 is 5.

  10. 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 35,710,12,45\frac{3}{5}, \frac{7}{10}, \frac{1}{2}, \frac{4}{5} in ascending order.

  11. Find a common denominator for all fractions.

    The least common multiple (LCM) of $5, 10, 2, 5$ is 10.

  12. Convert each fraction to an equivalent fraction with a denominator of 10.

    $$
    \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10}
    $$
    $$
    \frac{7}{10}
    $$
    $$
    \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}
    $$
    $$
    \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}
    $$
    
  13. Compare the numerators and arrange the fractions in ascending order.

    $$
    \frac{5}{10}, \frac{6}{10}, \frac{7}{10}, \frac{8}{10}
    $$
    
  14. 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 38\frac{3}{8} as a decimal.

  15. Divide the numerator by the denominator.

    $$
    \frac{3}{8} = 3 \div 8
    $$
    
  16. Perform the division.

    $$
    3 \div 8 = 0.375
    $$
    $\frac{3}{8}$ as a decimal is $\boxed{0.375}$.
    
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp