Algebra calculator with fractions free
In nature most occurrences involve fractions. As a result, most mathematics problems are composed of fractions or decimals. Unlike natural numbers or integers, you cannot add or subtract fractions directly. Nevertheless, you can solve any problem involving fractions using the right method. The algebra calculator with fractions helps you solve such problems efficiently and accurately.
The first step into solving or adding fractions is to determine the denominators. If the denominators are the same, then you are lucky. Denominators being similar mean you can add or subtract the fractions directly.
An algebra calculator with fractions comes in handy while you are trying to solve algebra problems that contain fractions.
For Example \frac{2}{5}+\frac{1}{5}can be evaluated directly, as the denominators are common.
Other examples with no similar denominators:
\frac{1}{2}+\frac{3}{5}
\frac{2}{5}-\frac{4}{6}
In the latter examples, you need to have the expression under a common denominator before attempting to solve them. This is similar to finding equivalent fractions with a common denominator. To do so, you simply find the LCM of the denominators, and then express each fraction over the new found denominator. This is how to express the fractions under a common denominator:
- Find the LCM ( least common multiple of the Denominators)
- Express or rewrite the fractions under the new found denominator. This will involve dividing the LCM with the denominator, multiplying the result with the numerator and expressing the results as a new fraction under a common denominator.
The LCD or the least common denominator is a common term used for LCM of fraction’s denominators.
Examples:
\frac{1}{3}+\frac{2}{5}=\frac{5+6}{15}=\frac{11}{12}
\frac{7}{14}+\frac{1}{7}+\frac{7+2}{14}
How to add Fractions with same denominator with Algebra calculator
Adding fraction with a common denominator is easy and straight forward. Usually, you just add the numerators and write the results over the original denominator. No matter how many terms you have in the expression, just add all the numerators then write the results over the original denominator.
You may however need to reduce your answer into simpler fractions. This is called simplifying fractions. The algebra calculator for fractions prints out your answers in simplified fraction form. If you are not using the calculator, you just need to divide the numerator and the denominator with a common factor to simplify it.
Example
\frac{36}{48}=\frac{12}{12}*\frac{3}{4}
Thus the fraction \frac{36}{48}can be written as \frac{3}{4}
From the above example, it is easy and possible to write a given fraction in different ways just by multiplying it with a factor or dividing by a common factor.
How to find a common Factor or LCM without Algebra calculator
Finding the LCM might be a challenge especially if the numbers are unlikely partners. However there is a sure way of finding the LCM. Using our LCM calculator ensures that you obtain an accurate LCM.
The basic or the most fundamental method is to factorize the given numbers into prime factors. A prime factor is a number or a factor that is prime. This means it has no other divisors apart from one and itself.
For example let’s find the LCM of 36 and 24
24 = 2*2*2*3
36 = 2*2*3*3
Once you have factorized the two numbers into respective prime factors as shown, you proceed and pick the common factors. It is easy to see that 2,2,3 are common in both expression. Thus the LCM reduces to finding the product of these factors.
Does your algebra calculator help you find the LCM of fractions?
Yes indeed the calculator solves fractions and also helps you to find the LCM. We have separate calculators for both LCM and working out fractions.
To add or subtract fractions using the calculator, simply place your math expression in the text area provided. Select Solve fractions as your method. Then, click on the calculate button to obtain results.