What is 0.648 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.648 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 0.648 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.

0.648 as a fraction equals 648/1000 or 81/125

Now let's break down the steps for converting 0.648 into a fraction.

Step 1:

First, we express 0.648 as a fraction by placing it over 1:

0.648/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

0.648 x 1000/1 x 1000

648/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 648 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 648 are: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 648 and 1000 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.

648 ÷ 8/1000 ÷ 8

81/125

Great Work! We've just determined that 0.648 as a fraction equals 648/1000 or 81/125 in its simplest form.

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Examples of converting decimals to fractions

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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.

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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.

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 median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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 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.

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

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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