What is 1.4700 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.4700 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 1.4700 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.

1.4700 as a fraction equals 14700/10000 or 147/100

Now let's break down the steps for converting 1.4700 into a fraction.

Step 1:

First, we express 1.4700 as a fraction by placing it over 1:
1.4700/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.4700 x 10000/1 x 10000
  =  
14700/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 14700 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 14700 are: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 14700 and 10000 is: 100

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 100 in this case.
14700 ÷ 100/10000 ÷ 100
  =  
147/100


Great Work! We've just determined that 1.4700 as a fraction equals 14700/10000 or 147/100 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.

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 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 percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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 decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.


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.

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

For a self-study courses for Algebra. We recommend Purple Math.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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