What is 10.46 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 10.46 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 10.46 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.

10.46 as a fraction equals 1046/100 or 523/50

Now let's break down the steps for converting 10.46 into a fraction.

Step 1:

First, we express 10.46 as a fraction by placing it over 1:
10.46/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
10.46 x 100/1 x 100
  =  
1046/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 1046 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 1046 are: 1 2 523 1046
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 1046 and 100 is: 2

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 2 in this case.
1046 ÷ 2/100 ÷ 2
  =  
523/50


Great Work! We've just determined that 10.46 as a fraction equals 1046/100 or 523/50 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 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 are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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 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.

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

Desmos.com has a focus on equation, functions and visual graphs.

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



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