Dividing Decimals Guide: Turning a Decimal into a Fraction

Math has different subjects that may be simple or complex for students. Students need to learn math as a basic requirement in all institutions of learning. The subject deals with calculations of different kinds. Students have different paces of learning math, and some are fast learners while others are slow learners. Teachers play a crucial role in students’ lives as they calculate different sums that involve mathematical functions. 

Math contains different topics, which include but are not limited to algebra, measurements, multiplying and dividing fractions and decimals. The subject is useful because students learn different life skills and solutions to various problems in life. Students need to be focused on getting the best grades in math while they do my math homework assignments

In algebra, decimals are numbers that contain a whole number and a fraction part that is separated by a decimal point. The decimal is based on 10. The numbers after the decimal point represent tenths, hundredths, thousandths, and so on. In math, fractions represent a portion of a whole item, equal parts of a whole thing. Students should have the skill of turning fractions into decimals and vice versa, which is found in intermediate algebra math help.

Dividing decimals examples

We can take any decimal: 0.55

0.55 is more than half but less than three quarters. What is the exact fraction? We make it a fraction by placing the number over 1: 0.55/1

The next step is counting the number of digits after the decimal. The digits present after the decimal are two. We need to multiply the digits by the placeholders. We will then multiply both sides by 100. 

(0.55/1) x (100/100)

You get a fraction of 55/100.

We can then reduce the fraction to the simplest number possible: 11/20.

Various techniques of dividing fractions by decimals and dividing fractions into decimals also exist. The calculations are not complex to comprehend. Students need constant practice to ensure that they understand the concept taught by the lecturers. Students need to work in groups or consult different sources of information. 

Example 2 of the division of decimals

We will take a complex number: 0.526

Let’s work it out:

(0.526/1) x (1000/100) = 263/ 500 

Your appropriate answer is 263/500

If students don’t understand the method above, they can seek other forms of working out the sum at math homework help.  

Example 3 of dividing decimals

We will use more complex numbers: 0.45678965398728/1

The above digit should not intimidate you because it is a simple task to calculate.


The numbers of digits are 14

Multiply the digit by the number of placeholders: 100000000000000/ 100000000000000

We reduce the number by dividing both sides by 2.

45678965398728/ 100000000000000 = 0.2283948269936/ 50000000000000

The correct answer is 0.2283948269936/ 50000000000000 

Example 4 of dividing decimals

You may have mixed numbers, such as 5.763

We will first ignore the whole number. Set 5 aside.

Work with the decimals first: 0.763

We count the number of digits after the decimal, as in the previous work. 

(763/1) x (1000/ 1000) = 763/ 1000


Students need to study the examples provided and do more exercises to get the correct results in their math assignments.

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