Comparing Fractions Calculator
How to Compare Fractions with a Calculator
As a math calculator application, our tool offers a wide range of features to solve various mathematical problems, including comparing fractions. One of the crucial tasks that students often encounter is comparing fractions, which can be challenging, especially when dealing with different denominators. Input 2 or more fractions with comma between them and select the "Sort" action.
To compare fractions, the first step is to find a common denominator. This process involves finding the least common multiple (LCM) of the denominators of the given fractions. Once you have the LCM, you can rewrite the fractions with the same denominator by multiplying the numerator and denominator by the appropriate factor. For example, to compare $\frac{1}{3}$ and $\frac{1}{4}$, you need to find the LCM of 3 and 4, which is 12. Then, you can rewrite the fractions as $\frac{4}{12}$ and $\frac{3}{12}$. Clearly, $\frac{3}{12}$ is smaller than $\frac{4}{12}$.
How to Compare Fractions with Different Denominators
To compare fractions with different denominators, we need to find a common denominator for both fractions. Once we have a common denominator, we can convert the fractions to equivalent fractions with the same denominator and then compare their numerators. Here's the process:
- Find the least common multiple (LCM) of the denominators. The LCM will be the common denominator.
- Convert each fraction to an equivalent fraction with the common denominator by multiplying the numerator and denominator by the appropriate factor.
- Compare the numerators of the equivalent fractions with the common denominator. The fraction with the larger numerator is the greater fraction.