Convert fraction into simplest form - Learn the easiest way

Convert fraction into simplest form - Learn the easiest way
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Converting Fractions into its lowest form or how to convert fraction in decimal - worksheet with easy steps to become a master in fractions chapter

In fractions class 6, students learn how to convert fractions into their decimal, percentage or lowest form equivalents. Often worksheets are used to help practice and reinforce this lesson. These worksheets usually include a number of fractions which must be converted and simplified. By completing the worksheet, students gain familiarity with conversion methods and improve their accuracy when working with fractions.

FAQ'

To convert a fraction into its simplest form, you need to divide both the numerator and denominator by their greatest common factor (GCF). For example, to simplify the fraction 16/64, you would divide both the numerator and denominator by their GCF, which is 16. The resulting fraction would be 1/4, which is the simplest form of the original fraction.

 convert fraction into binary

To convert a fraction into binary, you can use the method of successive multiplications by 2.

Multiply the fraction by 2.

Write down the integer part of the result as a binary digit.

Take the fractional part of the result and repeat steps 1 and 2.

For example, to convert 0.625 (5/8) to binary:

0.625 x 2 = 1.25, so the first binary digit is 1.

0.25 x 2 = 0.5, so the second binary digit is 0.

0.5 x 2 = 1.0, so the third binary digit is 1.

So, the binary representation of 0.625 is 0.101.

Note: This method will only work for decimal numbers between 0 and 1, and the result will be a repeating decimal if the decimal is not a sum of a power of 2.

 

How to convert fraction into decimal

To convert a fraction into a decimal, you can divide the numerator (the top number) by the denominator (the bottom number).

For example, to convert the fraction 3/4 into a decimal, you would divide 3 by 4:

3 ÷ 4 = 0.75

So, the decimal representation of 3/4 is 0.75.

Another way to convert a fraction into decimal is to use a calculator or a computer to do the division for you.

Note: if the fraction is a repeating decimal, you can use the long division method to find the repeating decimal pattern.

 

How to convert fractions to percentage

To convert a fraction to a percentage, you can multiply the fraction by 100.

For example, to convert the fraction 3/4 into a percentage, you would multiply 3/4 by 100:

(3/4) x 100 = 75

So, the percentage representation of 3/4 is 75%.

Another way to think about it is to express the fraction as a decimal and then multiply by 100 and add % symbol.

For example, 3/4 as a decimal is 0.75 and 0.75 x 100 = 75%.

Therefore, the percentage representation of 3/4 is 75%.

 

How to convert mixed fraction into decimal

A mixed fraction is a whole number and a fraction combined, for example, 3 1/4. To convert a mixed fraction into a decimal, you can first convert the fractional part to a decimal and then add it to the whole number.

For example, to convert the mixed fraction 3 1/4 into a decimal, you can first convert 1/4 to a decimal by dividing the numerator by the denominator:

1 ÷ 4 = 0.25

Then, add the decimal form of the fraction to the whole number:

3 + 0.25 = 3.25

So, the decimal representation of 3 1/4 is 3.25

Another way to think about it is to convert the fractional part of the mixed fraction to a percentage and divide by 100.

For example, to convert 3 1/4 to decimal is 3 + 1/4*100 = 3 + 25 = 3.25

So, the decimal representation of 3 1/4 is 3.25

 

How to convert fraction into whole number

A fraction is a number that represents a part of a whole. To convert a fraction into a whole number, you can divide the numerator (the top number) by the denominator (the bottom number) and get the quotient (result) as the whole number.

For example, to convert the fraction 2/3 into a whole number you would divide 2 by 3:

2 ÷ 3 = 0.6666...

As you can see, 2/3 cannot be converted into whole number, because the quotient is a repeating decimal.

If the denominator is a power of 10, you can also move the decimal point of the numerator to the right by the same number of places as the number of zeroes in the denominator, and get the quotient as the whole number.

For example, to convert the fraction 200/1000 into a whole number, you would move the decimal point of 200 three places to the right:

200.000 ÷ 1000 = 0.200

So the quotient is 0.2, which is a decimal and not a whole number.

In the case of the numerator being a multiple of the denominator, you can directly get the quotient as the whole number.

For example, to convert the fraction 4/4 into a whole number you would divide 4 by 4:

4 ÷ 4 = 1

So the quotient is 1, which is a whole number.

 

How to convert fraction into hours and minutes

To convert a fraction into hours and minutes, you can use the fact that there are 60 minutes in 1 hour.

First, convert the fraction to a decimal by dividing the numerator by the denominator.

For example, to convert the fraction 7/8 into hours and minutes, you would first convert it to a decimal:

7 ÷ 8 = 0.875

Then, you can multiply the decimal by 60 to get the number of minutes. In this case, 0.875 * 60 = 52.5 minutes.

To convert the decimal into hours and minutes, you can use the modulo operator (%), which will give you the remainder after dividing by 1 hour (or 60 minutes).

In this case, 52.5 % 60 = 52.5 minutes.

So, 7/8 can be converted to 0 hours 52 minutes and 30 seconds.

Alternatively, you could use a calculator or a computer to perform the division and multiplication and you can use the whole number of the quotient as the hours, and the remainder as the minutes.

Note: This method assumes that the fraction is smaller than 1, otherwise you will have to divide the numerator by the denominator and get the quotient and remainder, and then use the quotient as the hours and the remainder multiplied by 60 as the minutes.

 

How to convert fraction to decimal without calculator

To convert a fraction to a decimal without using a calculator, you can divide the numerator (the top number) by the denominator (the bottom number) using long division.

For example, to convert the fraction 3/4 into a decimal, you can perform long division as follows:

3 ÷ 4 = 0.75

So the decimal representation of 3/4 is 0.75

Another method for converting a fraction to a decimal without a calculator is to use a method called "repeated subtraction." You can repeatedly subtract the denominator from the numerator until the numerator becomes zero. The number of times you subtracted the denominator is the whole number part of the decimal, and the final numerator is the decimal part.

For example, to convert 7/8 into a decimal, you can repeatedly subtract 8 from 7 until you get a numerator less than 8:

7 - 8 = -1

So the decimal representation of 7/8 is 0.875

Note: this method is only useful for small numerator and denominator values, it can be time-consuming and difficult to keep track of the decimal places for large numerator and denominator values.

 





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