What is 1.2250 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.2250 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 1.2250 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.

1.2250 as a fraction equals 12250/10000 or 49/40

Now let's break down the steps for converting 1.2250 into a fraction.

Step 1:

First, we express 1.2250 as a fraction by placing it over 1:
1.2250/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.2250 x 10000/1 x 10000
  =  
12250/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 12250 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 12250 are: 1 2 5 7 10 14 25 35 49 50 70 98 125 175 245 250 350 490 875 1225 1750 2450 6125 12250
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 12250 and 10000 is: 250

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 250 in this case.
12250 ÷ 250/10000 ÷ 250
  =  
49/40


Great Work! We've just determined that 1.2250 as a fraction equals 12250/10000 or 49/40 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 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 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 terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

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.

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 fun game based learning try Prodigy Math.

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



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