What is 7.488 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 7.488 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 7.488 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.

7.488 as a fraction equals 7488/1000 or 936/125

Now let's break down the steps for converting 7.488 into a fraction.

Step 1:

First, we express 7.488 as a fraction by placing it over 1:
7.488/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
7.488 x 1000/1 x 1000
  =  
7488/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7488 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 7488 are: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 7488 and 1000 is: 8

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 8 in this case.
7488 ÷ 8/1000 ÷ 8
  =  
936/125


Great Work! We've just determined that 7.488 as a fraction equals 7488/1000 or 936/125 in its simplest form.

Convert any decimal to a fraction

Discover how different decimal numbers can be expressed as fractions.

Enter any decimal value:



Frequently asked math questions, including decimals and fractions

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

What are whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

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 fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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 fun game based learning try Prodigy Math.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



© www.asafraction.net