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Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580

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BuyFindarrow_forward

Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580
Textbook Problem

Complete the following table with the equivalents:

Fraction Decimal Percent
3 4
0.45
18%
1 2 5
1.08
16 3 4 %

To determine

To calculate: The missing values and complete the table shown below.

Fraction

Decimal

Percent

38

0.45

18%

125

1.08

1634%

Explanation

Given Information:

The given table shown below.

Fraction

Decimal

Percent

38

0.45

18%

125

1.08

1634%

Formula used:

There are following steps to change the fraction to a percent.

Step 1: Convert the fraction to an equivalent decimal.

Step 2: Find the equivalent percent for the decimal obtained in Step 1, by moving the decimal point two places to the right and then write the percent sign (%) after the number.

Changing a decimal to a percent:

To convert a decimal to a percent, move the decimal point two places to the right and then write the percent sign (%) after the number.

There are following steps to change the percent to a fraction.

Step 1: Convert the percent to an equivalent decimal by moving a decimal point two places to the left and then remove the percent sign (%).

Step 2: Find the equivalent fraction in lowest terms for the decimal obtained in Step 1, by multiplying numerator and denominator of the decimal by 100 and then reduce it to lowest terms.

Changing percent to a decimal:

The percent is defined as the number of parts per 100 parts, which can be expressed as a fraction with 100 in the denominator.

In other words, percent is changed to a decimal by moving a decimal point two places to the left and then remove the percent sign (%).

Calculation:

Consider the fraction 38.

First, convert the fraction to a decimal by dividing 3 by 8 as follows.

80.3753.00024_6056_4040_0

Hence, the equivalent decimal of the fractional number is 0.375.

Convert the decimal 0.375 to a percent.

By the formula stated above, move the decimal point two places to the right of 0.375 and write the sign %.

That is,

16=0.375=3.75%

Hence, the equivalent percent of the fractional number 38 is 3.75%.

Consider the fraction 38.

First, convert the fraction to a decimal by dividing 3 by 8 as follows.

80.3753.00024_6056_4040_0

Hence, the equivalent decimal of the fractional number is 0.375.

Convert the decimal 0.375 to a percent.

By the formula stated above, move the decimal point two places to the right of 0.375 and write the sign %.

That is,

38=0.375=37.5%

Hence, the equivalent percent of the fractional number 38 is 37.5%.

Consider the decimal.

0.45

Convert the decimal number 0.45 to a percent.

By the formula stated above, move the decimal point two places to the right of 0.45 and write the sign %.

That is, 0.45=45%.

Hence, the equivalent percent of the decimal number 0.45 is 45%

Convert the decimal 0.45 to fraction.

By the formula stated above, multiplying numerator and denominator of the decimal 0.45 by 100.

That is,

0.45=45100

Reduce the fraction into lowest terms as follows.

45100=920

Hence, the equivalent decimal for 0

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P-73ESect-1.12 P-74ESect-1.13 P-1ESect-1.13 P-2ESect-1.13 P-3ESect-1.13 P-4ESect-1.13 P-5ESect-1.13 P-6ESect-1.13 P-7ESect-1.13 P-8ESect-1.13 P-9ESect-1.13 P-10ESect-1.13 P-11ESect-1.13 P-12ESect-1.13 P-13ESect-1.13 P-14ESect-1.13 P-15ESect-1.13 P-16ESect-1.13 P-17ESect-1.13 P-18ESect-1.13 P-19ESect-1.13 P-20ESect-1.13 P-21ESect-1.13 P-22ESect-1.13 P-23ESect-1.13 P-24ESect-1.13 P-25ESect-1.13 P-26ESect-1.13 P-27ESect-1.13 P-28ESect-1.13 P-29ESect-1.13 P-30ESect-1.13 P-31ESect-1.13 P-32ESect-1.13 P-33ESect-1.13 P-34ESect-1.13 P-35ESect-1.13 P-36ESect-1.13 P-37ESect-1.13 P-38ESect-1.13 P-39ESect-1.13 P-40ESect-1.13 P-41ESect-1.13 P-42ESect-1.13 P-43ESect-1.13 P-44ESect-1.13 P-45ESect-1.13 P-46ESect-1.13 P-47ESect-1.13 P-48ESect-1.13 P-49ESect-1.13 P-50ESect-1.13 P-51ESect-1.13 P-52ESect-1.13 P-53ESect-1.13 P-54ESect-1.13 P-55ESect-1.13 P-56ESect-1.13 P-57ESect-1.13 P-58ESect-1.13 P-59ESect-1.13 P-60ESect-1.13 P-61ESect-1.13 P-62ESect-1.13 P-63ESect-1.13 P-64ESect-1.13 P-65ESect-1.13 P-66ESect-1.13 P-67ESect-1.13 P-68ESect-1.13 P-69ESect-1.13 P-70ESect-1.13 P-71ESect-1.13 P-72ESect-1.13 P-73ESect-1.13 P-74ESect-1.13 P-75ESect-1.13 P-76ESect-1.13 P-77ESect-1.13 P-78ESect-1.13 P-79ESect-1.13 P-80ESect-1.13 P-81ESect-1.14 P-1ESect-1.14 P-2ESect-1.14 P-3ESect-1.14 P-4ESect-1.14 P-5ESect-1.14 P-6ESect-1.14 P-7ESect-1.14 P-8ESect-1.14 P-9ESect-1.14 P-10ESect-1.14 P-11ESect-1.14 P-12ESect-1.14 P-13ESect-1.14 P-14ESect-1.14 P-15ESect-1.14 P-16ESect-1.14 P-17ESect-1.14 P-18ESect-1.14 P-19ESect-1.14 P-20ESect-1.14 P-21ESect-1.14 P-22ESect-1.14 P-23ESect-1.14 P-24ESect-1.14 P-25ESect-1.14 P-26ESect-1.14 P-27ESect-1.14 P-28ESect-1.14 P-29ESect-1.14 P-30ESect-1.14 P-31ESect-1.14 P-32ESect-1.14 P-33ESect-1.14 P-34ESect-1.14 P-35ESect-1.14 P-36ESect-1.14 P-37ESect-1.14 P-38ESect-1.14 P-39ESect-1.14 P-40ESect-1.14 P-41ESect-1.14 P-42ESect-1.14 P-43ESect-1.14 P-44ESect-1.14 P-45ESect-1.14 P-46ESect-1.14 P-47ESect-1.14 P-48ESect-1.14 P-49ESect-1.14 P-50ESect-1.14 P-51ESect-1.14 P-52ESect-1.14 P-53ESect-1.14 P-54ESect-1.14 P-55ESect-1.14 P-56ESect-1.14 P-57ESect-1.14 P-58ESect-1.14 P-59ESect-1.14 P-60ESect-1.15 P-1ESect-1.15 P-2ESect-1.15 P-3ESect-1.15 P-4ESect-1.15 P-5ESect-1.15 P-6ESect-1.15 P-7ESect-1.15 P-8ESect-1.15 P-9ESect-1.15 P-10ESect-1.15 P-11ESect-1.15 P-12ESect-1.15 P-13ESect-1.15 P-14ESect-1.15 P-15ESect-1.15 P-16ESect-1.15 P-17ESect-1.15 P-18ESect-1.15 P-19ESect-1.15 P-20ESect-1.15 P-21ESect-1.15 P-22ESect-1.16 P-1ESect-1.16 P-2ESect-1.16 P-3ESect-1.16 P-4ESect-1.16 P-5ESect-1.16 P-6ESect-1.16 P-7ESect-1.16 P-8ESect-1.16 P-9ESect-1.16 P-10ESect-1.16 P-11ESect-1.16 P-12ESect-1.16 P-13ESect-1.16 P-14ESect-1.16 P-15ESect-1.16 P-16ESect-1.16 P-17ESect-1.16 P-18ESect-1.16 P-19ESect-1.16 P-20ESect-1.16 P-21ESect-1.16 P-22ESect-1.16 P-23ESect-1.16 P-24ESect-1.16 P-25ESect-1.16 P-26ESect-1.16 P-27ESect-1.16 P-28ESect-1.16 P-1RSect-1.16 P-2RSect-1.16 P-3RSect-1.16 P-4RSect-1.16 P-5RSect-1.16 P-6RSect-1.16 P-7RSect-1.16 P-8RSect-1.16 P-9RSect-1.16 P-10RSect-1.16 P-11RSect-1.16 P-12RSect-1.16 P-13RSect-1.16 P-14RSect-1.16 P-15RSect-1.16 P-16RSect-1.16 P-17RSect-1.16 P-18RSect-1.16 P-19RSect-1.16 P-20RCh-1 P-1RCh-1 P-2RCh-1 P-3RCh-1 P-4RCh-1 P-5RCh-1 P-6RCh-1 P-7RCh-1 P-8RCh-1 P-9RCh-1 P-10RCh-1 P-11RCh-1 P-12RCh-1 P-13RCh-1 P-14RCh-1 P-15RCh-1 P-16RCh-1 P-17RCh-1 P-18RCh-1 P-19RCh-1 P-20RCh-1 P-21RCh-1 P-22RCh-1 P-23RCh-1 P-24RCh-1 P-25RCh-1 P-26RCh-1 P-27RCh-1 P-28RCh-1 P-29RCh-1 P-30RCh-1 P-31RCh-1 P-32RCh-1 P-33RCh-1 P-34RCh-1 P-35RCh-1 P-36RCh-1 P-37RCh-1 P-38RCh-1 P-39RCh-1 P-40RCh-1 P-41RCh-1 P-42RCh-1 P-43RCh-1 P-44RCh-1 P-45RCh-1 P-46RCh-1 P-47RCh-1 P-48RCh-1 P-49RCh-1 P-50RCh-1 P-51RCh-1 P-52RCh-1 P-53RCh-1 P-54RCh-1 P-55RCh-1 P-56RCh-1 P-57RCh-1 P-58RCh-1 P-59RCh-1 P-60RCh-1 P-61RCh-1 P-62RCh-1 P-63RCh-1 P-64RCh-1 P-65RCh-1 P-66RCh-1 P-67RCh-1 P-68RCh-1 P-1TCh-1 P-2TCh-1 P-3TCh-1 P-4TCh-1 P-5TCh-1 P-6TCh-1 P-7TCh-1 P-8TCh-1 P-9TCh-1 P-10TCh-1 P-11TCh-1 P-12TCh-1 P-13TCh-1 P-14TCh-1 P-15TCh-1 P-16TCh-1 P-17TCh-1 P-18TCh-1 P-19TCh-1 P-20TCh-1 P-21TCh-1 P-22TCh-1 P-23TCh-1 P-24TCh-1 P-25TCh-1 P-26TCh-1 P-27TCh-1 P-28TCh-1 P-29TCh-1 P-30TCh-1 P-31TCh-1 P-32TCh-1 P-33TCh-1 P-34TCh-1 P-35TCh-1 P-36TCh-1 P-37TCh-1 P-38TCh-1 P-39TCh-1 P-40TCh-1 P-41TCh-1 P-42TCh-1 P-43TCh-1 P-44T

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