Chapter 4 Diagnostic Test

1) Write 8/20 in simplest form. If simplified, write the original fraction.

The fraction 8/20 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. When we divide 8 by 4, we get 2, and when we divide 20 by 4, we get 5. Therefore, the simplest form of 8/20 is 2/5.

Explanation

The fraction 8/20 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. When we divide 8 by 4, we get 2, and when we divide 20 by 4, we get 5. Therefore, the simplest form of 8/20 is 2/5.

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2) Write 9/10 in simplest form. If simplified, write the original fraction.

The fraction 9/10 is already in its simplest form. There are no common factors that can be divided from both the numerator and denominator to simplify it further. Therefore, the original fraction is 9/10.

Explanation

The fraction 9/10 is already in its simplest form. There are no common factors that can be divided from both the numerator and denominator to simplify it further. Therefore, the original fraction is 9/10.

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3) Which decimal is greater?

2.36

2.63

The decimal 2.63 is greater than 2.36 because the digit in the tenths place is larger in 2.63 (6) compared to 2.36 (3). When comparing decimals, you start from the left and compare each digit until you find a difference. In this case, the tenths place is the first place where the digits are different, and since 6 is greater than 3, 2.63 is the greater decimal.

Explanation

The decimal 2.63 is greater than 2.36 because the digit in the tenths place is larger in 2.63 (6) compared to 2.36 (3). When comparing decimals, you start from the left and compare each digit until you find a difference. In this case, the tenths place is the first place where the digits are different, and since 6 is greater than 3, 2.63 is the greater decimal.

4) Write 12/14 in simplest form. If simplified, write the original fraction.

To simplify the fraction 12/14, we can divide both the numerator and the denominator by their greatest common divisor, which is 2. When we divide 12 by 2, we get 6, and when we divide 14 by 2, we get 7. Therefore, the simplified form of 12/14 is 6/7.

Explanation

To simplify the fraction 12/14, we can divide both the numerator and the denominator by their greatest common divisor, which is 2. When we divide 12 by 2, we get 6, and when we divide 14 by 2, we get 7. Therefore, the simplified form of 12/14 is 6/7.

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5) Write 7/28 in simplest form. If simplified, write the original fraction.

To simplify the fraction 7/28, we can divide both the numerator and denominator by their greatest common divisor, which is 7. When we divide 7 by 7, we get 1, and when we divide 28 by 7, we get 4. Therefore, the simplified form of 7/28 is 1/4.

Explanation

To simplify the fraction 7/28, we can divide both the numerator and denominator by their greatest common divisor, which is 7. When we divide 7 by 7, we get 1, and when we divide 28 by 7, we get 4. Therefore, the simplified form of 7/28 is 1/4.

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6) SPANISH The school newspaper reported that 20 out of every 60 students in the school take Spanish. Write a fraction in simplest form for these results.

The fraction 1/3 represents the ratio of the number of students who take Spanish to the total number of students in the school. In this case, out of every 60 students, 20 take Spanish. Simplifying this fraction gives us 1/3, indicating that one-third of the students in the school take Spanish.

Explanation

The fraction 1/3 represents the ratio of the number of students who take Spanish to the total number of students in the school. In this case, out of every 60 students, 20 take Spanish. Simplifying this fraction gives us 1/3, indicating that one-third of the students in the school take Spanish.

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7) Which decimal is greater?

0.51

0.051

0.51 is greater than 0.051 because the first decimal place in 0.51 is 5, which is greater than the first decimal place in 0.051, which is 0. Therefore, 0.51 is greater than 0.051.

Explanation

0.51 is greater than 0.051 because the first decimal place in 0.51 is 5, which is greater than the first decimal place in 0.051, which is 0. Therefore, 0.51 is greater than 0.051.

8) SPELLING Shawn got 10 out of 20 spelling words correct while Natalie got 15 out of 20 spelling words correct. Which letter best represents Natalie's score? Screenshot 2014-09-07 at 9.56.02 AM.png

A

B

C

D

Natalie got 15 out of 20 spelling words correct, which means she got 75% of the words correct. The letter "C" on a grading scale typically represents a score in the range of 70-79%, which best represents Natalie's score.

Explanation

Natalie got 15 out of 20 spelling words correct, which means she got 75% of the words correct. The letter "C" on a grading scale typically represents a score in the range of 70-79%, which best represents Natalie's score.

9) Which letter best shows 5/8? Screenshot 2014-09-07 at 9.54.03 AM.png

A

B

C

D

The letter C best represents 5/8 because it visually resembles the fraction. The top half of the letter C can be seen as the numerator (5) and the bottom half can be seen as the denominator (8).

Explanation

The letter C best represents 5/8 because it visually resembles the fraction. The top half of the letter C can be seen as the numerator (5) and the bottom half can be seen as the denominator (8).