Mixed & Improper Fractions

Mixed and Improper Fractions

For mixed and improper fractions, let's start with knowing what a fraction is. A fraction is showing a division from part and whole. It shows how much the whole is divided up to in equal parts.

Numerator: In ½ , the 1 is represented as the part of the whole, meaning it's the numerator.

The numerator shows the equal parts in the fraction. 1/2 also means half because 1 is half of 2.

Denominator: In the fraction ¾, the 4 is represented as the denominator. The denominator shows how much the whole is, or the total. 

Divide: In fractions, there is the numerator ( In simplest terms, the number at the top ), and the denominator ( The number at the bottom ), but what does the line represent? The line in fractions represents divide. When you divide the numerator to the denominator, you'll turn the fraction into a decimal. If you turn a 

fraction like ¾ into a decimal, divide 3 to 4 to equal 0.75.

 Mixed Fractions:

Mixed Fractions is when there is a whole number mixed with a proper fraction. This happens when there is an improper fraction, but showed in a different way.

2¾ In this fraction, the 2 is the whole number. The 3 is the parts in the whole. The 4 is how much parts the whole is divided up to, or the total.

Improper Fractions: 

Improper Fractions is when the numerator is greater than the denominator, making it improper. You could easily convert improper fractions into mixed fractions, and vice versa.

11/4 In this fraction, you could tell it's improper by seeing that the numerator is greater than the denominator. 11 is greater than 4 so you can also tell that it's more than a whole. 4/4 is a whole, and 11/4 is greater.

Converting Mixed to Improper and Improper to Mixed:

2¾ For mixed to improper, you can take the whole number (2) and then multiply that by the denominator (4), then adding the numerator (3). Equation: 2x4+3 = 11. Once you have the answer, just simply input the denominator. Remember, the denominator never changes. Your answer should be the numerator. This equals up to 11/4.

11/4 For improper to mixed, you'll have to use your division facts. Find out how much the denominator (4) could fit into the numerator (11). So how I thought of it is 4x3 equals 12 but 12 is greater than 11, so then 2x4. 2x4 = 8. After that, figure how much you need to get to the previous numerator, so 8 to 11, you add 3. 3 is the leftover number. The leftover number will be the numerator on the new mixed number and the denominator will stay the same. The whole will be the number you multiplied by the denominator, in this case, the 2, equaling 2 3/4.

Hope this helps! ^_~~

- Pam Joseph 7-09

Converting Review ( percent,fractions,decimals)

How to convert Percent to Decimals:
Eg.
       25% and 2.5% are examples of percent.
- so we need to find the decimal form of both of 25% & 2.5%

1. To do that, we first need to find the decimal point of the percent/number.

Remember: if you can't see thr decimal point of the percent/number, the decimal point is at the right end of the number.
Eg.
        37% ( 37. <--- decimal point )

2. After we find the decimal point of the percent/number, we now move the decimal point 2x to the left then remove the percent sign.
Eg. #1
       25.%    ->      25. = 0.25 ( final answer )
           ^         <-- move the dec. p. to the left (2x)
Decimal point

Eg. # 2
       2.5%      ->   2.5 = 0.025
         ^                <-- move the dec. p. to the left (2x)
Decimal point

* always move the decimal point 2x to the left.
* if there's a gap/space when you move the decimal point like example number 2, just fill the gap with the number 0.

How to convert Decimals to Percent:
Eg.
      0.25 and 2.5
- we need to convert 0.25 and 2.5 to percent.

1. First thing we need to do is to find the decimal point.
Eg.
       0.25  2.5
         ^       ^
            \   /
  Decimal points

2. After that, we now move the decimal point 2x to the right then just add a percent sign (%).
Eg#1
       0.25         ---->           0.25 + % = 25% ( final answer )
         ^                            --->Move to the right (2x)
Decimal point

* if there's the number zero in front of the decimal numbers, just remove it.
Eg#2
          2.5     --->     2.5 = 250% ( final answer )
           ^            ---> move to the right (2x)
Decimal Point

* If there's a space when you move the decimal point just add zero to the space.

How to convert Percent to Fraction:

1. We turn the percent to decimal. ( You can see that in "How to turn Percent to Decimal".
Eg.
      3.7 = 0.037

2. Now we need to identify the place value of the last number of decimal.
Eg.
       0.037
0- tenths
3- hundredths
7- thousandths

Remember: The first number after the decimal point always starts with the place value of tenths.

3. After you 've identified the place value of the last number, we now make the decimal number a numerator and the denominator is based on the place value of the last decimal number.
Eg.
         0.037 = 37/1000
                ^
       Thousandths
* if there's a zero in front of the number, just remove it.

4. If the fraction can be simplified, simplify it. To do that, we must need to find a number that can divide both the numerator and the denomintor.
Eg.
       25/100 divided both by 25 = 1/4

How to convert Fraction to Decimal:
1. We divide the numerator by the denominator.
Eg#1
       5/8 = 5 divide by the number 8. --> 0.625
5- numerator
8- denominator

Eg#2
          3 3/5 ( mixed fraction )
= 3 divide by the number 5
= 0.6 + 3
= 3.6

Remember: if you have a mixed fraction, just add the whole number to the answer of the numerator and denominator.

3 3/5
3- whole number
3- numerator
5- denominator

How to convert Decimal to Fraction:
1. We identify the place value of the last number of decimal.
Eg.
       0.625
6- tenths
2- hundredths
5- Thousandths

2. We now place the decimal number(s) as the numerator of  the fraction and the denominator is based by the place value of the last decimal number .
Eg.
        0.625    -->            625/1000 = 5/8 ( final answer )
               ^
     Thousandths      Divide both numbers by 125

* if you can simplify the fraction, simplify.



           

Converting Fractions, Decimals and Percents

The way to convert fractions into decimals is by dividing the numerator by the denominator. For example, ¼ = 1 ÷ 4. 1 ÷ 4 = 0.25.

The way to convert decimals into percents is by multiplying the decimal by 100. For example, 0.25 x 100 = 25%

A repeating decimal is self explanatory. It repeats itself. For example, 0.333... It could also be 2 numbers. For example, 0.4646... It could also even repeat after 1 number. For example, 3522...

A terminating decimal is just the opposite of a repeating decimal. Meaning, it has an end. For example, 0.35.