Fractions To Decimals Quiz

Explanation
The given answer ".6, 0.6" is the decimal representation of the fraction 3/5. The fraction 3/5 can be written as a decimal by dividing 3 by 5, which equals 0.6. Therefore, the correct answer is 0.6.

Explanation
To convert a mixed number into an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. In this case, we multiply 5 by 4 (the denominator of 3/4) and add 3 to get 23. The denominator remains the same, which is 4. Therefore, the improper fraction equivalent of 5 3/4 is 23/4.

Explanation
The given expression, 89/10, can be written as a mixed number, 8 9/10. This is because 89 divided by 10 equals 8 with a remainder of 9. The remainder, 9, is then expressed as a fraction over the denominator, 10, resulting in the mixed number 8 9/10.

Explanation
To convert a decimal into a fraction, we need to determine the place value of each digit in the decimal. In this case, the decimal .125 has three digits after the decimal point, which means it is in the thousandths place. To convert it into a fraction, we can write it as 125/1000. Then, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 125. By dividing both numerator and denominator by 125, we get 1/8. Therefore, the decimal .125 is equal to the fraction 1/8.

Explanation
The given answer, 3/2, is the simplified form of the fraction 1.5. To convert a decimal to a fraction, we can write it as a fraction with the decimal as the numerator and 1 as the denominator. In this case, 1.5 can be written as 1.5/1. To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 0.5. Dividing 1.5 by 0.5 gives us 3, and dividing 1 by 0.5 gives us 2. Therefore, the fraction 1.5 is equivalent to 3/2.

Explanation
The given answer, 3/8, is the simplified form of the fraction .375. To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the fraction 3/8 is equivalent to the decimal .375.

Explanation
The fraction 33/50 is the correct answer because when you divide 66 by 2, you get 33, and when you divide 100 by 2, you get 50. Therefore, 33/50 is the simplified fraction form of 66.