What is 34 3/4% written as a decimal?(1 point) Responses 0.3475 0.3475 0.03475 0.03475 34.75 34.75 3.475

Answer 1

To convert 34 3/4% to a decimal, first convert the mixed number to an improper fraction.

34 3/4 can be expressed as: \[ 34 + \frac{3}{4} = \frac{34 \times 4 + 3}{4} = \frac{136 + 3}{4} = \frac{139}{4} \]

Now, convert the percentage to a decimal:

1. Divide by 100: \[ \frac{139}{4} \div 100 = \frac{139}{400} \]

2. Now perform the division: \[ \frac{139}{400} = 0.3475 \]

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