Table of Contents
Algebra Examples
Evaluate -6/- 2
-6-2
Divide 6 by -2.
-3
Multiply −1-1 by −3-3.
3
Fraction calculator
This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.
The result:
6/2 = 3/1 = 3
Spelled result in words is three.
Simplifying 6 /- 2 explained
Each fraction will be reduced to its most straightforward kind, within which the dividend and divisor area unit is as tiny as doable. To modify a fraction, you’ve got to search out the best factor (GCF) of the dividend and divisor. A standard issue may be a range through which each dividend and divisor will be divided. By dividing each dividend and divisor by the GCF, your fraction is reduced to its most superficial kind.
Often you’ll be able to realize the GCF by trial and error. However, there’s conjointly a way to search out the GCF. Thus we tend to use prime numbers. A chief range may be a range that’s dividable solely by itself and 1:
The list of prime numbers is infinite: a pair of, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 39, 41, 43, 47, 53, etc.
To modify 6 /- 2, we tend to write each dividend and divisor as a product of prime ranges (each number will be registered as a product of exclusive prime numbers). This methodology is termed prime factorization:
6 = 2 x 3 = 3 =
3
2 2
Simplify fractions calculator
Check whether or not you’ve got the only kind of fraction and see if you’ve got the dividend and divisor as tiny as doable. The modified fractions calculator shows the fraction in its most straightforward type and best factor (GCF). Fill within the bonus on top of the scoreline and therefore the divisor below the scoreline and click on “Simplify fraction” to create the calculation.
6 2
Simplify fraction
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6 /- 2 Simplified
What is 6 /- 2 Simplified? – 3/1 is the simplified fraction for 6 /- 2. Modify 6 /- 2 to the only kind. Online modify fractions calculator to cut back 6 /- 2 to the bottom terms quickly.
Simplify Fractions
Here we’ll modify 6 /- 2 to its most straightforward kind and convert it to a mixed range if necessary.
In the fraction 6 /- 2, vi is the dividend, and a couple of is the divisor.
When you raise “What is 6 /- 2 simplified?”, we tend to assume you would like to grasp a way to modify the dividend and divisor to their smallest values while still keeping the constant price of the fraction.
We try this by 1st finding the best factor of vi and a couple of, which is 2.
Then, we have a tendency to divide each vi and a couple of by the best factor to urge the subsequently simplified fraction:
3/1
Therefore, this equation is true:
6 /- 2 = 3/1
If the dividend is more significant than or up to the divisor of a fraction, then it’s known as an AN fraction. in this case, you may convert it into an entire range of diverse range fractions.
3/1 = 3
Simplify 6 /- 2
Fraction:
6
2
What is 6 /- 2 Simplified?
Answer:
6 /- 2 = 3/1 = 3
Simplify 6 /- 2
Simplify 6 /- 2 reduces the fraction 6 /- 2 to the bottom kind. You’ll be able to modify the dividend or divisor to modify the other fraction.
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Fraction Calculator
Below area unit multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. The fields on top of the solid black line represent the dividend, whereas the fields below represent the divisor.
Calculate
Big range Fraction Calculator
Use this calculator if the numerators or denominators area unit massive integers.
1234 + 3343442113223223433 = ? 748892928829
8877277388288288288
Calculate
In arithmetic, a fraction may be a range that represents an area of an entire. It consists of a dividend and a divisor. The dividend represents the number of identical elements of a whole, whereas the divisor is the full range of features that form up the whole above. For instance, within the fraction of
, the dividend is three, and therefore the divisor is eight. An additional illustrative example may involve a pie with eight slices. One of these eight slices would represent the dividend of a fraction, whereas the entire eight slices that contain the whole pie would be the divisor. If an individual were to eat three slices, the remaining fraction of the pie would thus be
shown within the image to the correct. Note that the divisor of a fraction can not be zero because it would build the fraction vague. Fractions will endure many alternative operations, some of which are mentioned below.
Addition:
Unlike adding and subtracting integers like a pair of and eight, fractions need a standard divisor to endure these operations. One methodology for locating a common divisor involves multiplying the numerators and denominators of all particles concerned by the merchandise of the denominators of every fraction. Multiplying all of the divisors ensures that the new divisor is, for sure, to be a multiple of every individual denominator. The numerators conjointly ought to be increased by the acceptable factors to preserve the worth of the fraction as an entire. This is often arguably the only thanks to ensure that the fractions have a standard divisor. However, in most cases, the solutions to those equations won’t seem in a simplified kind (the provided calculator computes the simplification automatically). Below is AN example of the mistreatment of this methodology.
An alternative methodology for locating a standard divisor is to see the minuscule amount of whole numbers (LCM) for the denominators, then add or deduct the numerators in concert would AN number. Mistreating the smallest amount whole number will be more economical and probably end in a fraction in a simplified kind. Within the example on top of, the denominators were four, 6, and 2. the minuscule amount of whole numbers is that the 1st shared an ultiple of those three numbers.
Multiples of a pair of 2, 4, 6, 8 10, 12
Multiples of four: 4, 8, 12
Multiples of vi: 6, 12
The first multiple all of them share is twelve. Therefore this is often a minuscule amount whole number. To finish AN addition (or subtraction) drawback, multiply the numerators and denominators of every fraction within the liability by no matter price can build the denominators twelve, then add the numerators.
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Multiplication:
Multiplying fractions is relatively simple. In contrast to adding and subtracting, it’s not necessary to work out a standard divisor to multiply fractions. Simply, the numerators and denominators of every fraction area unit increased, and therefore the result forms a replacement dividend and divisor. If doable, the answer ought to be simplified. Talk over the equations below for clarification.
for example, is additional cumbersome than
. The calculator provided returns fraction inputs in each fraction kind further as mixed range kind. In each case, fractions are given in their lowest forms by dividing each dividend and divisor by their most significant factor.
Converting between fractions and decimals:
Converting from decimals to fractions is easy. It does, however, need the understanding that every decimal place to the correct of the mathematical notation represents an influence of 10; the primary decimal place being a hundred and one, the second 102, the third 105, and so on. Merely verify what power of ten the decimal extends to, use that power of ten because of the divisor, enter every range to correct the mathematical notation because of the dividend, and modify. For instance, staring at the amount zero.1234, the amount four is within the fourth decimal place, which constitutes 104, or 10,000. This could build the fraction
Steps to simplifying fractions
Find the GCD (or HCF) of the dividend and divisor
GCD of vi {and a pair of|and a couple of|and a pair of} is 2
Divide each dividend and divisor by the GCD
6 ÷ 2
2 ÷ 2
Fraction calculator
Input fractions
6 /- 2 Work with fractions
This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It conjointly shows it elaborated bit-by-bit data regarding the fraction calculation procedure. The calculator helps find prices from multiple fractions operations. Solve issues with 2, three, or additional fractions and numbers in one expression.
The result:
6 /- 2 = 3/
1
= 3
Spelt end in words is 3.
Rules for expressions with fractions:
/ division slash division 1/3 / five
: colon complex fraction 1/2 : 1/3
^ caret exponentiation / power 1/4^3
() parentheses calculate expression within first -3/5 – (-1/4)
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Examples:
- adding fractions: 2/4 + 3/4
- subtracting fractions: 2/3 – 1/2
- multiplying fractions: 7/8 * 3/9
- dividing Fractions: 1/2 : 3/4
- reciprocal of a fraction: one: 3/4
- sq. of a fraction: 2/3^2
- cube of a fraction: 2/3^3
- operation of a fraction: 1/2^4
- three-quarter exponents: sixteen ^ 1/2
- adding fractions and mixed numbers: 8/5 + vi 2/7
- dividing number and fraction: five ÷ 1/2
- advanced fractions: 5/8: a pair of 2/3
- decimal to fraction: zero.625
- Fraction to Decimal: 1/4
- Fraction to Percent: 1/8 nada
- examination fractions: 1/4 2/3
- multiplying a fraction by an entire number: vi * 3/4
- compound fraction: 3/4 of 5/7
- fractions multiple: 2/3 of 3/5
- divide to search out the quotient: 3/5 ÷ 2/3
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Review Fraction Calculator 6 /- 2 – 6/2.