Question

How do you write 5.6 as a fraction?

Answer 1

Hint: In the above question the number is given in decimal form we have to convert into fraction. The number which is just right to the decimal sign is in $\dfrac{1}{10}$ place, the next is in $\dfrac{1}{100}$ place and so on. That means if decimal number is given $ab.cd$ where a, b, c, and d are digits then $ab.cd=ab+\dfrac{c}{10}+\dfrac{d}{100}$ we can use it to solve the question.

Complete step by step answer:
The given decimal number is 5.6
We know that the number after the decimal sign is in $\dfrac{1}{10}$ place then $\dfrac{1}{100}$ pace and so on.
We can write $ab.cd=ab+\dfrac{c}{10}+\dfrac{d}{100}$ where a, b, c, and d are digits $ab.cd$ is a decimal number
So we can write $5.6=5+\dfrac{6}{10}$
Now we can add 2 numbers
We can write 5 as $\dfrac{50}{10}$ now $5+\dfrac{6}{10}$ is equal to $\dfrac{50}{10}+\dfrac{6}{10}$ which is equal to $\dfrac{56}{10}$
We can see 2 is common factor between 56 and 10 so we can reduce the fraction to $\dfrac{28}{5}$
In this way we can convert the decimal number into fraction

Note:
The above method might be a little long for many people, there is a very shortcut method for converting a decimal number to fraction. But it is good for the concept of decimal numbers. The shortcut method is let the decimal number is $ab.cde$ where a, b, c, d and e are digits. Just write the number without a decimal sign then divide it by 10 to the power number of digits after the decimal point. In this case number without decimal point $abcde$ number of digits after decimal point is 3
So $ab.cde=\dfrac{abcde}{{{10}^{3}}}=\dfrac{abcde}{1000}$