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
The correct answer is:
Mathml image4
To convert 1.75 into a fraction in lowest terms, you can follow these steps:
Step 1: Identify the whole number part and the decimal part of the number.
In this case, the whole number part is 1 and the decimal part is .75.
Step 2: Since there are two decimal places in .75, we can write it as 75/100 or 3/4.
Step 3: Combine the whole number and the fractional parts.
Since the whole number is 1 and the fractional part is 3/4, we can express 1.75 as a mixed number 1 3/4.
Therefore, the correct answer is Mathml image3, which represents the fraction 7/4 in lowest terms.
To convert the decimal 1.75 into a fraction in its lowest terms, we can follow these steps:
Step 1: Write down the decimal as a fraction by placing it over 1, since it is a whole number.
1.75 = 1.75/1
Step 2: Multiply both the numerator and the denominator by a power of 10 to eliminate the decimal.
1.75/1 = (1.75 × 100)/(1 × 100) = 175/100
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) and dividing both the numerator and denominator by it.
The GCD of 175 and 100 is 25.
175/100 = (175 ÷ 25)/(100 ÷ 25) = 7/4
Hence, the decimal 1.75 as a fraction in its lowest terms is 7/4.
Therefore, the correct answer is Mathml image2.
Question 2 options:
Write this fraction as a percent.
fraction numerator 3 over denominator 10 end fraction
Blank Space__________%
To write the fraction 3/10 as a percent, you can follow these steps:
Step 1: Divide the numerator (3) by the denominator (10).
3 ÷ 10 = 0.3
Step 2: Multiply the quotient by 100 to convert it to a percentage.
0.3 × 100 = 30
Therefore, the fraction 3/10 as a percent is 30%.
The correct answer is: 30%.
Question 3 options:
The standard amount to leave as a tip at a restaurant is 15% of the total bill. Change this percent to a decimal.
Type the correct answer.
To change the percent 15% to a decimal, you can divide it by 100.
15% / 100 = 0.15
Therefore, the decimal equivalent of 15% is 0.15.
The correct answer is: 0.15.
Question 4 options:
Write this decimal as a percent.
.619
To write the decimal .619 as a percent, you can follow these steps:
Step 1: Multiply the decimal by 100 to convert it to a percentage.
.619 × 100 = 61.9
Step 2: Add the "%" symbol to indicate it is a percentage.
61.9%
Therefore, the decimal .619 as a percent is 61.9%.
The correct answer is: 61.9%.
Question 5 options:
Write this percent as a decimal.
8%
To write the percent 8% as a decimal, you need to divide it by 100.
8% / 100 = 0.08
Therefore, the decimal equivalent of 8% is 0.08.
The correct answer is: 0.08.
Question 6 options:
What percent of 50 is 12.5?
To find what percent of 50 is 12.5, you can set up a proportion.
Let x represent the unknown percentage.
12.5 is x% of 50.
The proportion can be set up as:
12.5/50 = x/100
To solve for x, you can cross multiply and then solve for x:
12.5 * 100 = 50 * x
1250 = 50x
Divide both sides of the equation by 50 to isolate x:
1250 / 50 = x
25 = x
Therefore, 12.5 is 25% of 50.
The correct answer is: 25%.
Question 7 options:
Write this percent as a decimal.
275%
To write the percent 275% as a decimal, you need to divide it by 100.
275% / 100 = 2.75
Therefore, the decimal equivalent of 275% is 2.75.
The correct answer is: 2.75.
Question 8 options:
Three fifths of the students watching a basketball game were seventh graders. What percent were seventh graders?
To find the percent of students who were seventh graders, you can follow these steps:
Step 1: Write the fraction "three fifths" as a decimal by dividing the numerator (3) by the denominator (5).
3/5 = 0.6
Step 2: Multiply the decimal by 100 to convert it to a percentage.
0.6 × 100 = 60
Therefore, 60% of the students watching a basketball game were seventh graders.
The correct answer is: 60%.
Question 9 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, you can follow these steps:
Step 1: Subtract the fraction that is above the water (0.125) from 1 to find the fraction that is not visible.
1 - 0.125 = 0.875
Step 2: Multiply the fraction by 100 to convert it to a percentage.
0.875 * 100 = 87.5
Therefore, 87.5% of the iceberg is not visible above the water.
The correct answer is: 87.5%.
Question 10 options:
Write this fraction as a percent.
fraction numerator 2 over denominator 5 end fraction
To write the fraction 2/5 as a percent, you can follow these steps:
Step 1: Divide the numerator (2) by the denominator (5).
2 ÷ 5 = 0.4
Step 2: Multiply the quotient by 100 to convert it to a percentage.
0.4 × 100 = 40
Therefore, the fraction 2/5 as a percent is 40%.
The correct answer is: 40%.
Question 1 options:
Solve this problem.
64 increased by 25%
To solve the problem of "64 increased by 25%", you can follow these steps:
Step 1: Convert the percentage to a decimal by dividing it by 100.
25% / 100 = 0.25
Step 2: Multiply the decimal by the original number (64).
0.25 * 64 = 16
Step 3: Add the result to the original number to find the increase.
64 + 16 = 80
Therefore, 64 increased by 25% is equal to 80.
The correct answer is: 80.