Teaching fraction division to your pupils can be as straightforward as teaching multiplication. After you are aware of all the small methods to get the correct response, you don’t want your pupils to just solve a problem when you teach division. You want them to comprehend what each inquiry is asking. Keeping in view these hurdles, calculators online have specially designed a free multiple fraction calculator. With the assistance of this tool, students are now at ease of determining the results to a complicated fraction in seconds.
But that’s the problem. If you yourself struggle with fraction division, it will be difficult to explain it to them. In this regard, we were also a little perplexed. In order to ensure that your class comprehends the crucial ideas for splitting fractions, we looked into the greatest dividing fraction calculators and most straightforward methods.
In this article, you will learn how to divide fractions.
Let’s get started!
Flip the Divisor Into a Reciprocal:
You multiply a number by a reciprocal to acquire the value of one. Multiplying by 0.5 will make two into one. This is expressed as a fraction:
²⁄₁ × ½ = 1
Simply flipping the numbers yields the reciprocal of a fraction.
Revisit the Example Equation as Follows:
½ ÷ ⅙ = ?
Making our divisor, 16, a reciprocal is the first step in the solution to the issue.
⅙ → ⁶⁄₁
Change Division Sign to a Multiplication Symbol & Multiply:
A number’s opposite is also created when you make its reciprocal. When solving a division problem, you must switch the equation from division to multiplication when the divisor is converted to a reciprocal. For instance, you may utilise the fraction calculator to make instant calculations. You can convert the equation from division to multiplication now that you have determined the reciprocal of your divisor.
½ ÷ ⅙ = ? → ½ × ⁶⁄₁ = ?
Although we have a detailed tutorial on multiplying fractions, here is a brief overview:
- Get your new numerator by multiplying your numerators.
- To determine your new denominator, multiply your existing denominators.
- If you can, simplify the final fraction.
The online fraction calculator also performs the same steps before finalising the most reduced form of the equation.
There are two Issues to be Resolved for the Given Equation:
1 × 6 = 6 2 × 1 = 2 ½ × ⁶⁄₁ = ⁶⁄₂
You’re now prepared to simplify to obtain the answer.
Simplify Your Answer If Possible:
Fractions represent a portion of a whole. The fact that multiple fractions might represent the same value begs the question: why not simplify the fraction? This is where you are in need of using the multiple fraction calculator. For instance, you hardly ever use the terms fifths or tenths. As an alternative, you shorten that to half or ½.
Divide the numerator by the denominator’s greatest common factor to reduce a fraction to its simplest form. You may also utilise the multiplying and dividing fractions calculator to carry out these computations swiftly. Five and ten have the most things in common. You get ½ when you divide both numbers by five. The answer to the example problem’s largest common factor of 62 is two. This changes your answer from 62 to 31, which is the same as three.
Therefore:
½ ÷ ⅙ = ? → ½ × ⁶⁄₁ = ⁶⁄₂ → ³⁄₁ → 3
You can skip a few steps in an equation by creating a reciprocal and multiplying the result. It’s a fast cut that will greatly simplify things for your students! But if you are looking for complete step by step results, then employing a fraction calculator is the best option considered.
Final Thoughts:
Inform your students that they are attempting to determine how many instances of the divisor may be found in the dividend when you are teaching them how to divide fractions. The simplest approach to divide fractions is to practise usage of dividing fractions calculator by calculator-online.net. So teach them how to make use of this tool and let them understand the fraction division basics on their own.