Question

The part of the swim team that has been competing for at least three years is represented by 0.8. Which fraction represents that part of the team?

1) 4/5
2) 2/3
3) 3/4
4) 1/2

Answer 1

The decimal 0.8 equates to the fraction 4/5. To find this, simplify the fraction 8/10 by dividing both the numerator and the denominator by 2, resulting in 4/5, which is the fraction that represents the part of the swim team competing for at least three years.

Step-by-step explanation:

The part of the swim team that has been competing for at least three years is represented by the decimal 0.8. To convert this decimal to a fraction, we look for a fraction that has the same value as 0.8. The equivalent fraction for 0.8 is 4/5, as each time we multiply both the numerator (top number) and the denominator (bottom number) by the same number, the value of the fraction remains the same. So, 0.8 is equivalent to 4/5 when it is expressed as a fraction.

Here is the step-by-step conversion:

• We know that 0.8 is the same as 8/10.
• To simplify this fraction, we can divide both the numerator and the denominator by 2, the greatest common divisor of 8 and 10.
• After dividing by 2, we get the fraction 4/5, which cannot be simplified any further.

Therefore, the correct answer is option 1, 4/5.