What is 7.00704 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 7.00704 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 7.00704 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.

7.00704 as a fraction equals 700704/100000 or 21897/3125

Now let's break down the steps for converting 7.00704 into a fraction.

Step 1:

First, we express 7.00704 as a fraction by placing it over 1:
7.00704/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
7.00704 x 100000/1 x 100000
  =  
700704/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 700704 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 700704 are: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 811 864 1622 2433 3244 4866 6488 7299 9732 12976 14598 19464 21897 25952 29196 38928 43794 58392 77856 87588 116784 175176 233568 350352 700704
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 700704 and 100000 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.
700704 ÷ 32/100000 ÷ 32
  =  
21897/3125


Great Work! We've just determined that 7.00704 as a fraction equals 700704/100000 or 21897/3125 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 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 exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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 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.


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 personalized 1-1 lessons check out Preply.com.

For fun game based learning try Prodigy Math.

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



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