What is 1.02648 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.02648 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 1.02648 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.

1.02648 as a fraction equals 102648/100000 or 12831/12500

Now let's break down the steps for converting 1.02648 into a fraction.

Step 1:

First, we express 1.02648 as a fraction by placing it over 1:
1.02648/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.02648 x 100000/1 x 100000
  =  
102648/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 102648 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 102648 are: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 47 52 56 78 84 91 94 104 141 156 168 182 188 273 282 312 329 364 376 546 564 611 658 728 987 1092 1128 1222 1316 1833 1974 2184 2444 2632 3666 3948 4277 4888 7332 7896 8554 12831 14664 17108 25662 34216 51324 102648
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 102648 and 100000 is: 8

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 8 in this case.
102648 ÷ 8/100000 ÷ 8
  =  
12831/12500


Great Work! We've just determined that 1.02648 as a fraction equals 102648/100000 or 12831/12500 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

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 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 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 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 repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

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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