What is 2.85714 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.85714 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 2.85714 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.

2.85714 as a fraction equals 285714/100000 or 142857/50000

Now let's break down the steps for converting 2.85714 into a fraction.

Step 1:

First, we express 2.85714 as a fraction by placing it over 1:
2.85714/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.85714 x 100000/1 x 100000
  =  
285714/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 285714 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 285714 are: 1 2 3 6 9 11 13 18 22 26 27 33 37 39 54 66 74 78 99 111 117 143 198 222 234 286 297 333 351 407 429 481 594 666 702 814 858 962 999 1221 1287 1443 1998 2442 2574 2886 3663 3861 4329 5291 7326 7722 8658 10582 10989 12987 15873 21978 25974 31746 47619 95238 142857 285714
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 285714 and 100000 is: 2

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 2 in this case.
285714 ÷ 2/100000 ÷ 2
  =  
142857/50000


Great Work! We've just determined that 2.85714 as a fraction equals 285714/100000 or 142857/50000 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 an absolute value?

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

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 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%.

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

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

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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