Unit 3fractions, Decimals And Percentswelcome



Share your videos with friends, family, and the world. Unit 4 Decimals REVIEW. Unit 4: Outline. Unit 5: Algebra, Area and Volume. 5.2 and 5.3 Area of rectangles, triangles and parallelograms. Unit 5: Algebra, Area and Volume. 1.9 Prime and Composite Numbers, Prime Factorization. 5.1 Investigating Patterns. Unit 3 Fractions.

Decimals, Fractions and Percentages are just different ways of showing the same value:

A Half can be written..
As a fraction:
As a decimal:
0.5
As a percentage:
Unit
A Quarter can be written..
As a fraction:
1/4
As a decimal:
As a percentage:
25%

Here, have a play with it yourself:

Example Values

Euro truck simulator 2 - cabin accessories crack. Here is a table of commonly used values shown in Percent, Decimal and Fraction form:

PercentDecimalFraction
1%0.011/100
5%0.051/20
10%0.11/10
12½%0.1251/8
20%0.21/5
25%0.251/4
331/3%0.333..1/3
50%0.51/2
75%0.753/4
80%0.84/5
90%0.99/10
99%0.9999/100
100%1
125%1.255/4
150%1.53/2
200%2

Conversions!

From Percent to Decimal

To convert from percent to decimal divide by 100 and remove the % sign.

An easy way to divide by 100 is to move the decimal point 2 places to the left:

From Percent To Decimal
move the decimal point 2 places to the left

Don't forget to remove the % sign!


From Decimal to Percent

Unit 3 Fractions Decimals And Percentswelcome

To convert from decimal to percent multiply by 100%

An easy way to multiply by 100 is to move the decimal point 2 places to the right:

Unit 3 Fractions Decimals And Percents Welcome Grade

From Decimal To Percent
move the decimal point 2 places to the right

Don't forget to add the % sign!


From Fraction to Decimal

To convert a fraction to a decimal divide the top number by the bottom number:

Example: Convert 25 to a decimal

Divide 2 by 5: 2 ÷ 5 = 0.4

Answer: 25 = 0.4

From Decimal to Fraction

To convert a decimal to a fraction needs a little more work.

Example: To convert 0.75 to a fraction

StepsExample
First, write down the decimal 'over' the number 1:

0.751

Multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc):

0.75 × 1001 × 100

This makes a correctly formed fraction:

75100

Then Simplify the fraction:

34

Unit 3 Fractions Decimals And Percents Welcome 3rd

From Fraction to Percentage

To convert a fraction to a percentage divide the top number by the bottom number, then multiply the result by 100%

Example: Convert 38 to a percentage

First divide 3 by 8: 3 ÷ 8 = 0.375

Then multiply by 100%: 0.375 × 100% = 37.5%

Answer: 38 = 37.5%

From Percentage to Fraction

To convert a percentage to a fraction, first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above).

Example: To convert 80% to a fraction

StepsExample
Convert 80% to a decimal (=80/100):

0.8

Write down the decimal 'over' the number 1:

0.81

Multiply top and bottom by 10 for every number after the decimal point (10 for 1 number,100 for 2 numbers, etc):

0.8 × 101 × 10

This makes a correctly formed fraction:

810

Then Simplify the fraction:

45