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Converting a Fraction to a Percent
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1. Our Training Videos
Skills Application: Converting a Fraction to a Percent
Step-by-Step: Converting a Fraction to a Percent
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2. Running with Pi

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Your safety depends on the condition of the materials in your harnesses and ropes used in fall protection, logging or lifting. Steel wire, nylon and synthetic materials degrade with use, exposure to sunlight, moisture, perspiration etc. A new rope supports the maximum load capacity it is rated for however over time ropes wear, get thinner and weaker. This wear is measurable in fractions of an inch and correspond to percent loss of lifting capacity or strength.

Keep safe and be sure your gear and ropes go through scheduled checks and inspection.

Running with Pi

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3. Our Training Worksheets
This conversion is the reverse of the conversion of percentages to fractions in the previous lesson. One way to convert a fraction to a percentage is to convert the fraction into a
decimal, then multiply by 100. The result is a percentage.
1. Divide the numerator by the denominator. The result is a decimal.
2. Change the decimal into percent by multiplying by 100 (move the decimal point two places to the right).

A Short Review

Example:
Convert the fraction
$\frac{6}{7}$
into percent:
1. Divide six by seven 6 ÷ 7 = 0.8571
2. Change 0.8571 into percent: 0.8571 x 100 = 85.71 so 0.8571 = 85.71%
You dont need a calculator to multiply by 100. All you need to do is:
1. Locate the decimal point: 0.8571
2. Move the decimal point two places to the right: 85.71
3. Add the % symbol: 85.71%

Worksheet: Level 1

The operations used are clearly specified. Only one type of mathematical operation is used in a task.

Worksheet: Level 1 Sample Question

Example:
Calculate the following:

$\frac{18}{100}$
= ? %

$\frac{18}{100}$
= 18%

Worksheet: Level 2

Tasks involve one or two types of mathematical operation. Few steps of calculation are required.

Worksheet: Level 2 Sample Question

Example:
Calculate the following:

$\frac{1}{8}$
= ? %

Calculate the following:

$\frac{1}{8}$
= 12.5%

Tasks involve multiple steps of calculation. Advanced mathematical techniques may be required.

Another Way to Get the Answer

$\frac{1}{5}$
to a %.

Another way to get the answer, using cross multiplication & division (solving as an equation)

1. In this approach,
$\frac{1}{5}$
is converted to percent through an equation. First off, recognize that fractions can be written as a percents. Percents are related to fractions, they can be converted back-and-forth.
Now
$\frac{1}{5}$
is one side of an equation. On the other side is a division by 100. This 100 comes from the fact that percents always have an invisible “out of 100” concept with them. The % sign is actually short for “out of 100”.
The unknown amount can be represented by the letter x. Algebra is used to calculate x. After multiplying both sides of the equation with 100, we can solve for x:
1. Set up the problem:

100 ∙ numerator ÷ denominator = x

1. Calculate: 100 ∙  1  ÷  5  = 20
2. Take a pencil and write down  "x = 20"
3. Write the % sign after the 20 Now youre done with the math.
4. The last step: check your work, make sure everything was copied and written correctly then determine that the correct way to write the answer is 20%

$\frac{1}{5}$
=
$\frac{20}{100}\text{ = 20%}$