What is the reduced fraction form of $$ 340 \% $$ ?

Question

UpStudy AI · Accepted Answer

To convert $$ 340\% $$ into a reduced fraction form, we can follow these steps:

1. **Convert the percentage to a fraction**: 
   $$
   340\% = \frac{340}{100}
   $$

2. **Simplify the fraction**: 
   We need to find the greatest common divisor (GCD) of the numerator (340) and the denominator (100) to simplify the fraction.

- The prime factorization of $$ 340 $$ is $$ 2 \times 2 \times 5 \times 17 $$ or $$ 2^2 \times 5 \times 17 $$.
   - The prime factorization of $$ 100 $$ is $$ 2 \times 2 \times 5 \times 5 $$ or $$ 2^2 \times 5^2 $$.

The GCD is $$ 2^2 \times 5 = 20 $$.

3. **Divide both the numerator and the denominator by the GCD**:
   $$
   \frac{340 \div 20}{100 \div 20} = \frac{17}{5}
   $$

Thus, the reduced fraction form of $$ 340\% $$ is $$ \frac{17}{5} $$.
The reduced fraction form of $$ 340\% $$ is $$ \frac{17}{5} $$.

What is the reduced fraction form of \( 340 \% \) ?

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Arithmetic Questions