What is 0.008672 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.008672 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 0.008672 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.

0.008672 as a fraction equals 8672/1000000 or 271/31250

Now let's break down the steps for converting 0.008672 into a fraction.

Step 1:

First, we express 0.008672 as a fraction by placing it over 1:
0.008672/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.008672 x 1000000/1 x 1000000
  =  
8672/1000000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 8672 and 1000000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 8672 are: 1 2 4 8 16 32 271 542 1084 2168 4336 8672
The factors of 1000000 are: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000
The GCF of 8672 and 1000000 is: 32

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 32 in this case.
8672 ÷ 32/1000000 ÷ 32
  =  
271/31250


Great Work! We've just determined that 0.008672 as a fraction equals 8672/1000000 or 271/31250 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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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.

For fun game based learning try Prodigy Math.

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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