proper fraction without simplifying

Definition

Recall that a proper fraction is a fraction where the numerator is smaller than the denominator;

For example, 35.

Here numerator 3 is smaller than denominator 5.

Rules to convert a decimal to a proper fraction without simplifying.

• We drop the decimal point and write the number as the numerator of a fraction.
• We take the place value of the last digit of the decimal number and write it as the denominator of the fraction.

Example 1

Convert decimal 0.28 to a proper fraction without simplifying.

Solution

Step 1:

We drop the decimal and write the number 28 as the numerator of a fraction.

Step 2:

The place value of the last digit 8 is a hundredth. So, we write 100 as the denominator of the fraction to get

0.28=28100 withoutsimplifying

Example 2

Convert decimal 0.75 to a proper fraction without simplifying.

Solution

Step 1:

We drop the decimal and write the number 75 as the numerator of a fraction.

Step 2:

The place value of the last digit 5 is a hundredth. So we write 100 as the denominator of the fraction to get

0.75=75100 withoutsimplifying