# Fraction Calculator

Below are multiple calculators capable of performing conversion and simplification of decimals and fractions, as well as division, multiplication, subtraction, and addition. The numerator represents the black solid line above the fields, while the denominator represents the fields below.

– X / = ? ?Output: Addition, subtraction, multiplication, division, equal to, question mark?

Addition, subtraction, multiplication, division, equals, question mark?

## Big Number Fraction Calculator

Utilize this calculator if the numerators or denominators are extremely large integers.

– X / = ?

The fraction is an example of a number that represents the total number of parts while the denominator is the whole. In mathematics, a fraction is a number that consists of a numerator, which represents the equal number of parts up to a whole.

Fractions can undergo many different operations. It is important to note that a fraction’s denominator cannot be 0, as it would make the fraction undefined. If a person were to eat 3 slices of the remaining fraction while the image in the right shows that the whole pie comprises 58 slices, the numerator of the fraction would consist of those 8 slices. An illustrative example could involve a pie with 8 slices. The denominator is 8 and the numerator is 3.

### Addition:

Below is an example of using this method. The calculator provided automatically computes the simplification (in most cases, the solutions to these equations will not appear simplified). However, this is arguably the simplest way to ensure that the fractions have a common denominator. The appropriate factors must also be multiplied by the numerators to preserve the value of the whole fraction. One method for finding a common denominator involves multiplying all the denominators of each fraction by the product of the denominators and multiplying the numerators and denominators of the fractions involved. Fractions require a common denominator to undergo these operations, such as adding, subtracting, and unlike integers such as 8 and 2.

34 plus 16 equals 3 times 64 times 6 plus 1 times 46 times 4 equals 2224 equals 1112. The addition of ab and cd is equal to a times db times d plus c times bd times b which simplifies to ad plus bcbd.

For the given problem, you can multiply the top and bottom parts of each fraction by the product of the bottom parts of all the other fractions (excluding its own bottom part). This method can be applied to any number of fractions.

EX: 14 + 16 + 12 = 1×6×24×6×2 + 1×4×26×4×2 + 1×4×62×4×6 = 1248 + 848 + 2448 = 4448 = 1112.

The least common multiple is the first shared multiple of these three numbers. In the example above, the denominators were 2 and 6. Using the least common multiple can result in a fraction simplified form and can be more efficient. An alternative method for finding the common denominator is to determine the least common multiple (LCM) by subtracting or adding the numerators as an integer and then finding the denominators.

Multiples of 2: 2, 4, 6, 8, 10, 12 Multiples of 4: 4, 8, 12 Multiples of 6: 6, 12.

The least common multiple of 12 denominators is the value that will make each fraction in the problem have the same numerator and denominator. To solve the problem, you can either subtract or add the numerators of each fraction, then multiply the numerators and denominators of each fraction by the value that makes the denominators 12.

Example: 14 + 16 + 12 = 1×34×3 + 1×26×2 + 1×62×6 = 312 + 212 + 612 = 1112.

### Subtraction:

To provide clarification, please consult the following equations and the section on addition. The operation necessitates a shared denominator. Fraction subtraction is essentially equivalent to fraction addition.

712 is equivalent to 1424, which can be written as 3 multiplied by 64 multiplied by 6 minus 1 multiplied by 46 multiplied by 4. It can also be expressed as ad minus bcbd or a multiplied by db multiplied by d minus c multiplied by bd multiplied by b. Moreover, it can be represented as ab minus cd.

### Multiplication:

To clarify, please consult the equations provided below. If feasible, simplify the solution. It is essential to multiply the numerators and denominators of the fractions given, resulting in a new numerator and denominator. In order to compute a common denominator, there is no need to subtract or add unlike fractions. Multiplying fractions is a relatively simple process.

Nha Trang Institute of Oceanography is a captivating spot for individuals of diverse age brackets.

### Division:

The reciprocal of a number is simply obtained by multiplying the numerator by the reciprocal of the denominator in a fraction. The process is similar to dividing fractions for multiplying fractions.

92 = 184 = 34 × 61 = 34 / 16 = EX: ab / cd = ab × dc = adbc Refer to the equations below for clarification. The inverse of the fraction 34 would consequently be 43. This essentially entails swapping the placement of the numerator and the denominator when a is a fraction. When a is a fraction, this essentially entails swapping the placement of the numerator and the denominator.

### Simplification:

Working with simplified fractions is often more convenient. Therefore, solutions involving fractions are frequently expressed in their simplified formats.

Fractions are simplified by dividing both the numerator and denominator by their greatest common factor in order to present them in their lowest form. The calculator provided returns fraction inputs in both improper fraction format and mixed number format. For instance, 220440 is more cumbersome when compared to 12.

### Converting between fractions and decimals:

The ratio would render this 10,000 or 104 which makes up the fourth decimal place in the number 0.1234. Streamline and input each number to the right of the decimal point as the numerator, employ that exponent of 10 as the denominator, and ascertain what exponent of 10 the decimal extends to. As a consequence, the third 103, the second 102, the first decimal place being 101, and every decimal place to the right of the decimal point denotes an exponent of 10. Nonetheless, it necessitates the comprehension that converting from decimals to fractions is uncomplicated.

123410000, which reduces to 6175000, as the largest common factor between the numerator and denominator is 2.

Fractions can be translated into decimal form using the same principles. They can be converted to powers of 10 or fractions with denominators that are powers of 10.

Converting long divisions that involve decimals into fractions can be a challenging task. For instance, if the decimal is 0.05, it could be represented as the fraction 5100 instead. Similarly, if we want to convert 0.5 into a fraction, we need to understand that it represents the first decimal place value of 10-1. Therefore, we should convert 510 into a fraction before converting it into a decimal. Let’s take the example of 12 to illustrate this.

### Common Engineering Fraction to Decimal Conversions

Here are the most prevalent fractional and decimal equivalents. Fractions are extensively employed in engineering to depict the dimensions of elements like pipes and bolts.