What is 0.988 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.988 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 0.988 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.

0.988 as a fraction equals 988/1000 or 247/250

Now let's break down the steps for converting 0.988 into a fraction.

Step 1:

First, we express 0.988 as a fraction by placing it over 1:
0.988/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.988 x 1000/1 x 1000
  =  
988/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 988 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 988 are: 1 2 4 13 19 26 38 52 76 247 494 988
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 988 and 1000 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.
988 ÷ 4/1000 ÷ 4
  =  
247/250


Great Work! We've just determined that 0.988 as a fraction equals 988/1000 or 247/250 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

What are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

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 percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

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

For a self-study courses for Algebra. We recommend Purple Math.



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