What is -1.32 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -1.32 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite -1.32 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

-1.32 as a fraction equals -132/100 or -33/25

Now let's break down the steps for converting -1.32 into a fraction.

Step 1:

First, we express -1.32 as a fraction by placing it over 1:
-1.32/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-1.32 x 100/1 x 100
  =  
-132/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for -132 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -132 are:
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of -132 and 100 is: 4

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which we calculated in the previous step. The GCF value is 4 in this case.
-132 ÷ 4/100 ÷ 4
  =  
-33/25


Great Work! We've just determined that -1.32 as a fraction equals -132/100 or -33/25 in its simplest form.

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

What is a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.


Educational math links

There are numerous online resources available (some free and some paid) for learning math including decimals and fractions. These range from interactive games to in-depth courses and lessons. We recommend these websites as a valuable resource for students of all skill levels.

For a structured learning approach with video lessons try the Khan Academy.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



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