What is -1.4 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal -1.4 into a fraction.

Answer: -1.4 as a fraction equals -14/10 or -7/5

Here is the solution for converting -1.4 to a fraction:

Step 1:

First, we write -1.4 as  
-1.4/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
-1.4/1
  =  
-1.4 x 10/1 x 10
  =  
-14/10


Step 3:

Next, we find the Greatest Common Factor (GCF) for -14 and 10. A factor is a number that divides into another number without any remainder.

The factors of -14 are:
The factors of 10 are: 1  2  5  10 
So for -14 and 10 that gives us a GCF value of: 2

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
-14/10
  =  
-14 ÷ 2/10 ÷ 2
  =  
-7/5


Good work! We have just walked through the steps on how to represent -1.4 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net