What is 1.24956 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.24956 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 1.24956 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.

1.24956 as a fraction equals 124956/100000 or 31239/25000

Now let's break down the steps for converting 1.24956 into a fraction.

Step 1:

First, we express 1.24956 as a fraction by placing it over 1:
1.24956/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.24956 x 100000/1 x 100000
  =  
124956/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 124956 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 124956 are: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 89 108 117 156 178 234 267 351 356 468 534 702 801 1068 1157 1404 1602 2314 2403 3204 3471 4628 4806 6942 9612 10413 13884 20826 31239 41652 62478 124956
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 124956 and 100000 is: 4

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 4 in this case.
124956 ÷ 4/100000 ÷ 4
  =  
31239/25000


Great Work! We've just determined that 1.24956 as a fraction equals 124956/100000 or 31239/25000 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

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 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 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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into 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.

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

For personalized 1-1 lessons check out Preply.com.

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



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