Input Data :
`2/7, 6/4, 9/5, 3/7, 11`
Number of Input = `5`
Objective :
Find the sum of multiple like and unlike fractions?
Solution :
Conevert whole number into fraction
`11/1`
For unlike denominators, find LCD for all denominators
LCD(`7, 4, 5, 7, 1`) = 140
Multiply LCD by each numerator & denominator of all fractions
= `(2\times140)/(7\times140)` + `(6\times140)/(4\times140)` + `(9\times140)/(5\times140)` + `(3\times140)/(7\times140)` + `(11\times140)/(1\times140)`
= `(2\times20)/(140)` + `(6\times35)/(140)` + `(9\times28)/(140)` + `(3\times20)/(140)` + `(11\times140)/(140)`
= `(40)/(140)` + `(210)/(140)` + `(252)/(140)` + `(60)/(140)` + `(1540)/(140)`
Add all numerator of the fraction
= `(40 + 210 + 252 + 60 + 1540)/140`
= `(2102)/140`
Simplify above fraction `2102/140`
Common divisor of (2102, 140) is 2
Divide both numerator & denominator by gcd value 2
`2102/140 = frac{2102\divide2}{140\divide2} = 1051/70`
`2/7 + 6/4 + 9/5 + 3/7 + 11 = 1051/70`
Multiple fractions addition calculator uses two or more proper or improper fractions and calculates their sum.
It is an online algebra tool for finding the sum in the simplest form of two or more proper or improper fractions.
It is necessary to follow the next steps:
A sum of two numbers does not depend on their order. In other words, it satisfies the commutative property. A sum of numbers does not depend on how the numbers are grouped. This property is called the associative property. When we deal with fractions, there are two types of addition:
The problem of adding two or more fractions can be found in almost all spheres of life and science.
Practice Problem 1 : Find the number for $\frac 59$ greater than the sum of the numbers $1\frac 3 7$ and $\frac 4{11}$.
Practice Problem 2 : Find the sum of five fractions with unlike or different denominators $\frac35, \frac 27, -\frac 18, \frac 4{11}$ and $\frac 23$.
Practice Problem 3 : Ann needs to read thirty books in the following five weeks. At the first week, he read one-quarter of the books. At the second week, he read one-third of the books. At the third week he read three books. At the fourth week he read one-sixth books. What fraction of the books Brad read?
The multiple fractions addition calculator, formula, example calculation (work with steps), real world problems and practice problems would be very useful for grade school students (K-12 education) to understand the addition of two or more numbers represented as fractions. Using this concept they can be able to solve complex algebraic problems and equations.