What is -1.75 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal -1.75 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 -1.75 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.

-1.75 as a fraction equals -175/100 or -7/4

Now let's break down the steps for converting -1.75 into a fraction.

Step 1:

First, we express -1.75 as a fraction by placing it over 1:
-1.75/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
-1.75 x 100/1 x 100
  =  
-175/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for -175 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of -175 are:
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of -175 and 100 is: 25

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 25 in this case.
-175 ÷ 25/100 ÷ 25
  =  
-7/4


Great Work! We've just determined that -1.75 as a fraction equals -175/100 or -7/4 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

Use Study.com for an entertaining video lesson approach.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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