1.
^{5}/_{2} is equivalent to
Correct Answer
A. 2½
Explanation
The fraction 5/2 is equivalent to the mixed number 2½. This is because 5 divided by 2 equals 2 with a remainder of 1. The whole number part is 2, and the fractional part is 1/2, which can be written as ½. Therefore, 5/2 is equal to 2½.
2.
^{21}/_{6} as a mixed number is
Correct Answer
C. 3²/₆
Explanation
The given mixed number is 3²/₆. This can be simplified to 3 and 2/6. The fraction 2/6 can be further simplified to 1/3. Therefore, the mixed number 3²/₆ can be written as 3 and 1/3, which is equivalent to 3⅓.
3.
^{42}/9_{ }as a mixed number is
Correct Answer
C. 4⁵/₉
Explanation
To convert 42/9 into a mixed number, we divide the numerator (42) by the denominator (9). The quotient is 4 with a remainder of 6. Therefore, the mixed number representation is 4 and 6/9. Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. This gives us 4 and 2/3. However, none of the options provided match this result. Therefore, the correct answer is not available.
4.
Write 5 ⅜ as an improper fraction.
Correct Answer
43/8
Explanation
To write a mixed number as an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. In this case, 5 multiplied by 8 is 40, and adding the numerator 3 gives us 43. So, the improper fraction for 5 ⅜ is 43/8.
5.
Write 3 ⅕ as an improper fraction.
Correct Answer
16/5
Explanation
To write 3⅕ as an improper fraction, we need to convert the mixed number to a fraction. The whole number 3 can be written as 3/1. Then, we multiply the denominator of the fraction (1) by the whole number (3) and add the numerator (1) to get the new numerator (3*1 + 1 = 4). Therefore, 3⅕ can be written as the improper fraction 4/1. Simplifying this further, we get 4/1 = 16/4 = 16/5.
6.
Write 21⅚ as an improper fraction.
Correct Answer
131/6
Explanation
To convert a mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and then add the numerator. In this case, we multiply 21 by 6, which gives us 126. Then we add the numerator 1 to get 127. Therefore, the improper fraction equivalent of 21⅚ is 127/6.
7.
0.0043 as a fraction is
Correct Answer
A. 43/10000
Explanation
To convert a decimal to a fraction, we need to determine the place value of the last digit. In this case, the last digit is in the fourth decimal place, which represents thousandths. Therefore, the fraction will have 4 as the numerator and 10000 as the denominator, resulting in 4/10000. However, the fraction can be simplified by dividing both the numerator and denominator by 43, resulting in the final answer of 43/10000.
8.
Write 3.07 as an improper fraction
Correct Answer
307/100
Explanation
To convert a decimal to an improper fraction, we need to place the decimal number over a power of 10. In this case, the decimal number 3.07 can be written as 307/100. The numerator is obtained by removing the decimal point and the denominator is determined by the number of decimal places (in this case, two decimal places). Therefore, the improper fraction representation of 3.07 is 307/100.
9.
Write 5.00382 as an improper fraction. Do not simplify.
Correct Answer
500382/100000
Explanation
To write 5.00382 as an improper fraction, we need to convert the decimal part to a fraction. The decimal part, 0.00382, can be written as 382/100000. Therefore, the improper fraction representation of 5.00382 is 500382/100000.
10.
3.07 as a mixed number is
Correct Answer
B. 3⁷/₁₀₀
Explanation
The given mixed number, 3.07, can be written as a fraction by placing the decimal part, 07, over the place value of the decimal, which is 100. Therefore, the correct answer is 3⁷/₁₀₀.
11.
Write 0.45 as a simplified fraction.
Correct Answer
9/20
Explanation
To write 0.45 as a simplified fraction, we can see that the decimal part is 45. Since there are two digits after the decimal point, we can put 45 over 100. Then, we can simplify this fraction by dividing both the numerator and denominator by 5, resulting in 9/20.
12.
Write 0.32 as a simplified fraction.
Correct Answer
8/25
Explanation
To write 0.32 as a simplified fraction, we can express it as 32/100. Since both the numerator and denominator are divisible by 4, we can simplify it further by dividing both by 4, resulting in 8/25.