What is 4.288 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 4.288 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 4.288 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.

4.288 as a fraction equals 4288/1000 or 536/125

Now let's break down the steps for converting 4.288 into a fraction.

Step 1:

First, we express 4.288 as a fraction by placing it over 1:
4.288/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
4.288 x 1000/1 x 1000
  =  
4288/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 4288 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 4288 are: 1 2 4 8 16 32 64 67 134 268 536 1072 2144 4288
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 4288 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.
4288 ÷ 8/1000 ÷ 8
  =  
536/125


Great Work! We've just determined that 4.288 as a fraction equals 4288/1000 or 536/125 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 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 an absolute value?

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

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 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.

Use Study.com for an entertaining video lesson approach.

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

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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