Question

How do you write \[0.48\] as a fraction in lowest terms?

Answer 1

Hint: In this question, we have to represent the given number as a fraction in lowest terms.
First we need to convert the decimal number to a fraction. To convert that we will first write the decimal divide by \[1\] .Then we will count the number after decimal and multiply both top and bottom by \[10\] to the power that number. After that we just need to simplify that.

Complete Step by Step Solution:
We need to write \[0.48\] as a fraction in lowest terms.
Steps to convert the decimal number to a fraction:
Write the decimal divided by one.
Next we need to multiply both the top and bottom of our new fraction by \[10\] for every digit after the decimal point.(For example if there are three numbers after decimal point,we need to multiply by \[1000\] )
Then we just need to simplify that fraction.
Following the steps we can convert \[0.48\] as a fraction in lowest terms ,
Following the first step We get, \[0.48 = \dfrac{{0.48}}{1}\] .
Now there are two digits after decimal point, thus we need to multiply the fraction by \[100\] .
Then we get, \[\dfrac{{0.48}}{1} = \dfrac{{0.48 \times 100}}{{1 \times 100}} = \dfrac{{48}}{{100}}\]
Simplifying we get,\[\dfrac{{48}}{{100}} = \dfrac{{4 \times 12}}{{4 \times 25}} = \dfrac{{12}}{{25}}\]

Hence, \[0.48\] as a fraction in lowest terms can be written as , \[\dfrac{{12}}{{25}}\] .

Note: Proper fraction:
A fraction where the numerator (the top number) is less than the denominator (the bottom number)
For example, \[\dfrac{1}{4},\dfrac{3}{5}\] etc.
Improper fraction:
A fraction where the numerator (the top number) is greater than the denominator (the bottom number)
For example, \[\dfrac{7}{5},\dfrac{3}{2}\] etc.
Mixed fraction:
A whole number and a proper fraction combined into one “Mixed fraction”.
For example, \[5\dfrac{1}{2},7\dfrac{1}{5}\] etc.