In this article, I will explain how to change some fractions into a decimal. The fractions I will solve are 3/8, 5/8, and 7/8.
To change any number to a decimal number is not difficult provided you know the trick to get the answer. Firstly, to convert any fraction to decimal form, we just need to divide its numerator by the denominator. This way, you will be able to arrive at the correct answer
Now to the main solution.
What is 3/8 as a decimal?
3/8 is the same as 3 ÷ 8. Like I have said earlier, 8 is the divisor i.e. 8 is the denominator that will divide 3.
8 in 3 will give 0.
So the next step is to add 0 to 3 to make it 30.
So 8 in 30 is 3
Then multiply 8 by 3, 8 x 3 = 24 (this step is necessary to find the remainder)
Now, subtract 24 from 30, 30 – 24 = 6. Add 0 after 6 to make it 60.
8 in 60 is 7 – remainder 4
Add 0 after 4 to make it 40.
8 in 40 is 5. At this point, you don’t need to add any zero again since there is no reminder.
Therefore, 3/8 as a decimal is 0.375
Read: Are all integers and fractions rational number?
What is 5/8 as a decimal?
5/8 is the same as 5 ÷ 8. Like I have said earlier, 8 is the divisor i.e. 8 is the denominator that will divide 5.
8 in 5 will give 0.
So the next step is to add 0 to 5 to make it 50.
So 8 in 50 is 6
Then multiply 8 by 6, 8 x 6 = 48 (this step is necessary to find the remainder)
Now, subtract 48 from 50, 50 – 48 = 2. Add 0 after 2 to make it 20.
8 in 20 is 2 – remainder 4
Add 0 after 4 to make it 40.
8 in 40 is 5. At this point, you don’t need to add any zero again since there is no reminder.
Therefore, 5/8 as a decimal is 0.625
What is 7/8 as a decimal?
7/8 is the same as 7 ÷ 8. Like I have said earlier, 8 is the divisor i.e. 8 is the denominator that will divide 7.
8 in 7 will give 0.
So the next step is to add 0 to 7 to make it 70.
So 8 in 70 is 8
Then multiply 8 by 8, 8 x 8 = 64 (this step is necessary to find the remainder)
Now, subtract 64 from 70, 70 – 64 = 6. Add 0 after 6 to make it 60.
8 in 60 is 7- reminder 4. Add 0 after 4 to make it 40.
8 in 40 is 5. At this point, you don’t need to add any zero again since there is no remainder.
Therefore, 7/8 as a decimal is 0.875
