What is 1.42275 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.42275 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 1.42275 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.

1.42275 as a fraction equals 142275/100000 or 5691/4000

Now let's break down the steps for converting 1.42275 into a fraction.

Step 1:

First, we express 1.42275 as a fraction by placing it over 1:
1.42275/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.42275 x 100000/1 x 100000
  =  
142275/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 142275 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 142275 are: 1 3 5 7 15 21 25 35 75 105 175 271 525 813 1355 1897 4065 5691 6775 9485 20325 28455 47425 142275
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 142275 and 100000 is: 25

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 25 in this case.
142275 ÷ 25/100000 ÷ 25
  =  
5691/4000


Great Work! We've just determined that 1.42275 as a fraction equals 142275/100000 or 5691/4000 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 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 rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

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 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.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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 a structured learning approach with video lessons try the Khan Academy.

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

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



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