What is 34 3/4% as a decimal

Answer 1

To convert 34 3/4% to a decimal, you can follow these steps:

1. Convert the mixed number 34 3/4 to an improper fraction.

   • 34 3/4 can be written as \( \frac{34 \times 4 + 3}{4} = \frac{136 + 3}{4} = \frac{139}{4} \).

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, divide 139 by 400:

   • \( 139 \div 400 = 0.3475 \).

So, 34 3/4% as a decimal is 0.3475.