What is 95% as a fraction in simlest form

3 answers

To convert 95% to a fraction, you can start by writing it as:

\[ \frac{95}{100} \]

Next, simplify the fraction by finding the greatest common divisor (GCD) of 95 and 100. The GCD of 95 and 100 is 5.

Now, divide both the numerator and the denominator by 5:

\[ \frac{95 \div 5}{100 \div 5} = \frac{19}{20} \]

Thus, 95% as a fraction in simplest form is:

\[ \frac{19}{20} \]

What is 34 3/4% as a decimal

To convert the mixed number \(34 \frac{3}{4}%\) to a decimal, follow these steps:

  1. Convert the mixed number to an improper fraction: \[ 34 \frac{3}{4} = 34 + \frac{3}{4} = \frac{34 \times 4}{4} + \frac{3}{4} = \frac{136}{4} + \frac{3}{4} = \frac{139}{4} \]

  2. Convert the percentage to a decimal by dividing by 100: \[ \frac{139}{4} \div 100 = \frac{139}{4} \times \frac{1}{100} = \frac{139}{400} \]

  3. Now, calculate this fraction as a decimal: \[ \frac{139}{400} = 0.3475 \]

Thus, \(34 \frac{3}{4}%\) as a decimal is \(0.3475\).