What is 0.7074 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.7074 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 0.7074 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.

0.7074 as a fraction equals 7074/10000 or 3537/5000

Now let's break down the steps for converting 0.7074 into a fraction.

Step 1:

First, we express 0.7074 as a fraction by placing it over 1:
0.7074/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.7074 x 10000/1 x 10000
  =  
7074/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 7074 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 7074 are: 1 2 3 6 9 18 27 54 131 262 393 786 1179 2358 3537 7074
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 7074 and 10000 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.
7074 ÷ 2/10000 ÷ 2
  =  
3537/5000


Great Work! We've just determined that 0.7074 as a fraction equals 7074/10000 or 3537/5000 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 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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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 are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

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.

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

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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