Which answer shows this decimal as a fraction in lowest terms?
1.75
Select the correct answer.
Question 1 options:
Mathml image1
Mathml image2
Mathml image3
Mathml image4
1.75 can be written as 7/4. Therefore, the correct answer is Mathml image2.
To convert 1.75 into a fraction in lowest terms, we need to find the simplest form of the fraction.
Step 1: Write down the decimal as a fraction by using the place value of the decimal.
The number 1.75 can be written as 175/100 because the decimal point separates the whole number (1) and the decimal part (75) in the hundredths place (0.75).
Step 2: Simplify the fraction.
The fraction 175/100 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 175 and 100 is 25.
175 ÷ 25 = 7
100 ÷ 25 = 4
So, the fraction 175/100 in lowest terms is 7/4.
Looking at the provided options:
Mathml image1 = 7/5
Mathml image2 = 35/20
Mathml image3 = 28/16
Mathml image4 = 7/4
The correct answer is Mathml image4.
To convert the decimal 1.75 to a fraction in lowest terms, follow these steps:
Step 1: Count the number of decimal places. In this case, there are two decimal places.
Step 2: Write the decimal as the numerator of the fraction. In this case, the numerator is 1.75.
Step 3: Write the denominator as a power of 10, using the same number of decimal places as in Step 1. In this case, the denominator is 100 because there are two decimal places.
Step 4: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 175 and 100 is 25.
So, the decimal 1.75 as a fraction in lowest terms is:
Mathml image: 1.75 = 7/4
Therefore, the correct answer is:
Mathml image3
Write this fraction as a percent.
fraction numerator 2 over denominator 5 end fraction
Blank Space__________%
To convert a fraction to a percent, you can multiply the fraction by 100 and add a percent sign.
In this case, the fraction is 2/5.
To convert 2/5 to a percent, multiply it by 100:
(2/5) * 100 = 40
So, 2/5 as a percent is 40%.
Therefore, the correct answer is 40%.
Question 3 options:
Write this decimal as a percent.
.125
To convert a decimal to a percent, you can multiply it by 100 and add a percent sign.
In this case, the decimal is 0.125.
To convert 0.125 to a percent, multiply it by 100:
0.125 * 100 = 12.5
So, 0.125 as a percent is 12.5%.
Therefore, the correct answer is 12.5%.
Question 4 options:
Write this decimal as a percent.
.09
Blank Space__________%
To convert a decimal to a percent, you can multiply it by 100 and add a percent sign.
In this case, the decimal is 0.09.
To convert 0.09 to a percent, we have:
0.09 * 100 = 9
So, 0.09 as a percent is 9%.
Therefore, the correct answer is 9%.
Write this decimal as a percent.
.35
Blank Space__________%
To convert a decimal to a percent, you can multiply it by 100 and add a percent sign.
In this case, the decimal is 0.35.
To convert 0.35 to a percent, we have:
0.35 * 100 = 35
So, 0.35 as a percent is 35%.
Therefore, the correct answer is 35%.
Question 6 options:
Bananas are fraction numerator 3 over denominator 4 end fraction water. What percent of a banana is made up of water?
To find the percent of water in bananas, we need to convert the fraction numerator 3 over denominator 4 into a decimal and then into a percent.
The fraction numerator 3 over denominator 4 can be written as 3/4.
To convert 3/4 to a decimal, divide the numerator by the denominator:
3 ÷ 4 = 0.75
To convert 0.75 to a percent, multiply it by 100:
0.75 * 100 = 75
So, the fraction 3/4 is equivalent to 0.75 or 75%.
Therefore, 75% of a banana is made up of water.
The correct answer is 75%.
Question 7 options:
Write this fraction as a percent.
fraction numerator 7 over denominator 20 end fraction
Blank Space__________%
To convert a fraction to a percent, you can multiply the fraction by 100 and add a percent sign.
In this case, the fraction is 7/20.
To convert 7/20 to a percent, multiply it by 100:
(7/20) * 100 = 35
So, 7/20 as a percent is 35%.
Therefore, the correct answer is 35%.
Question 8 options:
The captain of a ship must use extreme caution when approaching an iceberg because only 0.125 of it is above the surface of the water. What percent of the iceberg is not visible above the water?
To find the percent of the iceberg that is not visible above the water, we need to determine the complement of the given portion that is above the surface.
The portion above the surface is 0.125.
To find the portion not visible above the water, subtract the portion above the surface from 1:
1 - 0.125 = 0.875
To express this as a percent, multiply by 100:
0.875 * 100 = 87.5
So, 87.5% of the iceberg is not visible above the water.
Therefore, the correct answer is 87.5%.
What percent of 75 is 15?
Blank Space__________%
To find the percent of 75 that is 15, we can set up a proportion:
15/75 = x/100
To solve for x, we can cross-multiply:
15 * 100 = 75 * x
1500 = 75 * x
Divide both sides of the equation by 75:
1500/75 = x
20 = x
So, x is equal to 20.
Therefore, 20% of 75 is 15%.
The correct answer is 20%.
Question 10 options:
Three fifths of the students watching a basketball game were seventh graders. What percent were seventh graders?
Blank Space__________%
To find the percent of students who were seventh graders, we need to divide the number of seventh graders by the total number of students and then multiply by 100.
Given that three fifths of the students were seventh graders, we can represent this as a fraction:
Three fifths = 3/5
To convert this fraction to a percent, we can multiply it by 100:
(3/5) * 100 = 60
So, 60% of the students were seventh graders.
Therefore, the correct answer is 60%.