Input Data :
Fraction A = `8/7`
Fraction B = `3/4`
Objective :
Find which is greater or smaller fraction?
Solution :
denominator of two fraction is different.
lcm of denominators (7, 4) = 28
Multiplying to make each denominator equal to 28
`8/7 = (8\times 4)/(7\times 4) =(32)/(28)`
`3/4 = (3\times 7)/(4\times 7) =(21)/(28)`
Compare the two numerators
32 is greater than 21
`32/28` is greater than `21/28`
Therefore, Greater Fraction = `8/7`
Smaller Fraction = `3/4`
Fractions comparison calculator uses two proper or improper fractions, `a/b` and `c/d` such that `b,d\ne0`, and compares them.It is an online tool specially programmed to find which one is bigger or smaller among two fractions.
In other words, it figures out which symbol goes between the two fractions: `>`,`<` or `=`.
It is necessary to follow the next steps:
A rational number is a number that can be expressed as the quotient or fraction `a/b` of two integers such that `b\ne0`.
The top number `a` is called the numerator. The bottom nonzero number `b` is called the denominator. In case of `b=1`, the rational number is integer `a`. Integers and rational numbers are very important in daily life. There are three types of fractions:
First of all, there are three signs that we use when comparing fractions:
Fractions comparison is useful to write fractions in order from least to greatest or from greatest to least. Comparison of fractions becomes a gateway concept that will embolden studying in almost all field of sciences. For instance, in geometry, if we divide a square or some other shape into four parts, then each part has the area one-fourth of the square. Further, we can compare areas of some parts. In order to get real insign it’s important to know relation between information, represented as fractions, i.e. which is bigger, smaller or equal than another. Since fractions are used in real world in many different ways, for example in the cooking and construction, this concept of comparing two fractions can be very helpful.
Practice Problem 1:
Which of the fractions is bigger, `4/7` or `5/9` ?
Practice Problem 2:
Johnny ate `5/16` of a pizza and Melaena ate `2/7` of the same pizza. Who ate more pizza?
The fractions comparison calculator, formula, step by step calculation, real world problems and practice problems would be very useful for grade school students (K-12 education) to understand the values and representations of fractions and consider the relation between the numerator and denominator of two fractions.