Fraction Decimal and Percent Conversion

What is the process to turn a fraction into a decimal?

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

• Add the numerator and denominator

• Subtract the numerator from the denominator

Answer explanation

The process to turn a fraction into a decimal involves division. Specifically, you divide the numerator (the top number) by the denominator (the bottom number). The other options, such as multiplying or adding the numerator and denominator, or subtracting the numerator from the denominator, do not result in a decimal representation of the fraction.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d

What is the percent equivalent of 3/4?

• 25%

• 50%

• 75%

• 100%

Answer explanation

The question asks for the percent equivalent of 3/4. Percentages are a way of expressing a fraction out of 100. Therefore, to convert the fraction 3/4 to a percentage, we divide 3 by 4 and then multiply by 100, which gives us 75%. Hence, the correct answer is 75%.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d

How do you convert a decimal to a percent? (more than one is correct!)

• Multiply the decimal by 100

• Divide the decimal by 100

• Move the decimal two places to the left

• Move the decimal two places to the right

Answer explanation

To convert a decimal to a percent, you can either multiply the decimal by 100 or move the decimal two places to the right. Both methods will give you the equivalent percentage. Dividing the decimal by 100 or moving the decimal two places to the left will not give the correct conversion.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d

How do you convert a percent to a decimal? (more than one correct answer)

• Multiply the percent by 100

• Divide the percent by 100

• Move the decimal two places to the left

• Move the decimal two places to the right

Answer explanation

To convert a percent to a decimal, you can either divide the percent by 100 or move the decimal two places to the left. Both methods will give you the same result. For example, if you have 50%, dividing by 100 gives you 0.5, and moving the decimal two places to the left also gives you 0.5.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d

Write 5% as a decimal.

• 5

• 0.5

• 0.05

• 0.005

Answer explanation

The question asks to convert 5% into a decimal. Percent means 'per 100'. So, 5% can be written as 5/100. When you divide 5 by 100, you get 0.05. Therefore, the correct answer is 0.05.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d

James took a quiz and got 15 questions out of 20 questions right what was his grade percentage?

• 15%

• 20%

• 80%

• 75%

Answer explanation

The question asks for the grade percentage of James who got 15 correct answers out of 20. To find the percentage, we divide the number of correct answers by the total number of questions and multiply by 100. So, (15/20)*100 = 75%. Therefore, the correct answer is 75%.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d

Convert 55% to a fraction in simplest form.

• 55/100

• 11/50

• 5/11

• 11/20

Answer explanation

The question asks to convert 55% to a fraction in simplest form. The first step is to write 55% as a fraction, which is 55/100. However, this is not the simplest form. The simplest form is obtained by dividing both the numerator and the denominator by their greatest common divisor, which is 5. This gives us the fraction 11/20, which is the correct answer.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d

Convert 40% to a fraction in simplest form.

• 40/100

• 4/10

• 2/5

• 8/20

Answer explanation

The question asks to convert 40% to a fraction in simplest form. 40% can be written as 40/100 in fraction form. However, this is not the simplest form. By reducing the fraction 40/100, we get 4/10 and further reducing it, we get 2/5. Therefore, the simplest form of 40% as a fraction is 2/5.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d

What is 67% as a fraction?

Answer explanation

The question asks for 67% as a fraction. Percentages are fractions with a denominator of 100. Therefore, 67% as a fraction is 67/100. This matches the correct answer choice.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d

12.7% as a decimal

• 127

• 0.127

• 1.27

• 0.0127

Answer explanation

The question asks to convert 12.7% into a decimal. To convert a percentage into a decimal, we divide the percentage by 100. So, 12.7 divided by 100 equals 0.127. Therefore, the correct answer is 0.127.

Tags

CCSS.MATH.CONTENT.7.EE.A.2

CCSS.MATH.CONTENT.7.NS.A.2.d