Write each fraction as a percent. 1 1/5=120%
2. Identify the rate, base, and amount in each statement or question. 150 is 75% of what number=200
3.Identify the rate, base, and amount in the following applications In a shipment of750 parts,75 What percent were found to be defectiveof the parts were faulty=10%
4.Solve each of the following problems involving percent.6.5% of what number is 325=5,000
5.Estimate the amount in each of the following problems What is 48.3% of 1,500?=727
in #5 I got 724.5
the rest are correct, but the wording of #3 is strange.
1. To write a fraction as a percent, you need to divide the numerator by the denominator, then multiply the result by 100.
For example, to write 1 1/5 as a percent:
First, convert the mixed number to an improper fraction:
1 1/5 = (1 * 5 + 1) / 5 = 6/5
Then, divide the numerator (6) by the denominator (5):
6 ÷ 5 = 1.2
Finally, multiply the result by 100 to convert it to a percent:
1.2 × 100 = 120%
So, 1 1/5 can be written as 120%.
2. To identify the rate, base, and amount in a statement or question, you need to understand the context and the meaning of these terms.
For example, in the statement "150 is 75% of what number?":
- The amount is 150.
- The rate is 75% (which can be written as a fraction as 75/100 or as a decimal as 0.75).
- The base refers to the unknown number that you need to find.
So, in this case, the rate is 75%, the amount is 150, and the base is the unknown number.
3. To identify the rate, base, and amount in an application involving percentages, you can follow a similar approach as explained above.
For example, in the statement "In a shipment of 750 parts, 75 were found to be defective":
- The amount is 75.
- The base is the total number of parts, which is 750.
- The rate can be calculated by dividing the amount (75) by the base (750) and then multiplying the result by 100 to get the percentage.
So, in this case, the rate is (75/750) * 100 = 10%. Thus, 10% of the parts were found to be defective.
4. To solve problems involving percent, you need to use the basic percent formula, which is:
rate * base = amount
For example, in the problem "6.5% of what number is 325":
- The rate is 6.5% (which can be written as a decimal as 0.065).
- The amount is 325.
- The base refers to the unknown number that you need to find.
Using the formula, we can write the equation as:
0.065 * base = 325
Solving for the base, we divide both sides of the equation by 0.065:
base = 325 / 0.065 = 5000
So, 6.5% of 5000 is equal to 325.
5. To estimate the amount in problems involving percent, you can round the given percentage to a whole number or a decimal and then multiply it by the given quantity.
For example, in the problem "What is 48.3% of 1500?":
- The percentage is 48.3% (which can be written as a decimal as 0.483).
- The quantity is 1500.
You can estimate the amount by rounding 0.483 to 0.5 (since 48.3% is close to 50%). Then, multiply 0.5 by 1500:
0.5 * 1500 = 750
So, an estimation of 48.3% of 1500 is 750.