To convert a decimal number to a simple fraction
we will ask ourselves how the decimal number
is read. If we use the word tenths, we will place in the denominator
If we use the word hundredths, we will place in the denominator
If we use the word thousandths, we will place in the denominator.
The number itself will be placed in the numerator.
*If the integer figure differs from , we will note it next to the simple fraction.
How much of the whole does the shaded area (blue) represent?
Converting a simple fraction to a decimal number is easier than you might think.
To do it without making a mistake, we recommend reviewing the reading of decimal numbers and making sure you know how to do it well.
If you really know how to correctly read decimal numbers, you are guaranteed success when trying to convert a decimal number to a simple fraction.
As is known, decimal numbers are composed of an integer part and a fractional part which, in turn, is composed of tenths, hundredths, and thousandths.
When converting tenths, hundredths, and thousandths into the denominator of the fraction we obtain:
Magnificent! Now let's remember that, in order to correctly read a decimal number we must find out what its last digit symbolizes.
For example, how would we read the decimal number ?
is its last digit and it represents the hundredths, therefore, we will call the decimal number hundredths.
Bingo! We have learned the signaling of the hundredths:
All that remains for us to do is to place in the numerator and get the simple fraction of the decimal number :
Convert the decimal number to a fraction
Solution:
Let's ask ourselves, how is the decimal number read?
tenths.
Therefore, we will use the notation for tenths and place in the numerator:
Convert the decimal number to a fraction
Solution:
Let's ask ourselves, how is the decimal number read?
thousandths.
Therefore, we will use the notation for thousandths and place in the numerator:
Pay attention, if the fraction can be simplified, you can do so without changing its value:
And, indeed, we already know that:
How much of the whole does the shaded area (blue) represent?
How much of the whole does the shaded area (blue) represent?
How much of the whole does the shaded area (blue) represent?
Convert the decimal number to a fraction
Solution:
Let's ask ourselves, how is the decimal number read?
hundredths.
Therefore, we will use the notation of hundredths and place in the numerator
We can reduce by dividing by and we will obtain:
What happens when the figure of the whole part is not ?
Simply place the whole number next to the fraction and continue operating according to what has been studied.
For example:
Convert the decimal number to a fraction.
Solution:
Let's ask ourselves, how is the decimal number read?
and hundredths.
Therefore, we will use the notation of hundredths and place in the numerator. Let's not forget to add wholes to its side:
Convert into fraction form:
Let's pay attention to where the decimal point is located in the number.
Let's remember:
One number after the zero represents tens
Two numbers after the zero represent hundreds
Three numbers after the zero represent thousands
And so on
In this case, there are two numbers after the zero, so the number is divided by 100
We'll write the fraction in the following way:
We'll remove the unnecessary zeros and get:
Convert into fraction form:
Let's pay attention to where the decimal point is located in the number.
Let's remember:
One number after the zero represents tens
Two numbers after the zero represent hundreds
Three numbers after the zero represent thousands
And so on
In this case, there are two numbers after the zero, so the number is divided by 100
We will write the fraction as follows:
We'll remove the unnecessary zeros and get:
Convert into fraction form:
Let's notice where the decimal point is located in the number.
Let's remember:
One number after the zero represents tens
Two numbers after the zero represent hundreds
Three numbers after the zero represent thousands
And so on
In this case, there are two numbers after the zero, so the number is divided by 100
Let's write the fraction in the following way:
Let's remove the unnecessary zeros and we get:
Convert into fraction form:
Let's pay attention to where the decimal point is located in the number.
Let's remember:
One number after the zero represents tens
Two numbers after the zero represent hundreds
Three numbers after the zero represent thousands
And so on
In this case, there are two numbers after the zero, so the number is divided by 100
Let's write the fraction in the following way:
We'll remove the unnecessary zeros and get:
Convert into fraction form:
Let's pay attention to where the decimal point is located in the number.
Let's remember:
One number after the zero represents tens
Two numbers after the zero represent hundreds
Three numbers after the zero represent thousands
And so on
In this case, there are two numbers after the zero, so the number is divided by 100
We will write the fraction in the following way:
We will remove the unnecessary zeros and get:
How much of the whole does the shaded area (blue) represent?
How much of the whole does the shaded area (blue) represent?
How much of the whole does the shaded area (blue) represent?
