What is 0.733 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.733 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 0.733 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.

0.733 as a fraction equals 733/1000

Now let's break down the steps for converting 0.733 into a fraction.

Step 1:

First, we express 0.733 as a fraction by placing it over 1:
0.733/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.733 x 1000/1 x 1000
  =  
733/1000


Great Work! We've just determined that 0.733 as a fraction equals 733/1000 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 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 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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.


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.

Math Planet has customized math courses for high school students.

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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