Input Data :
Mixed Fraction A = `5 8/7`
Mixed Fraction B = `6 4/5`
Objective :
Find the sum of two given mixed numbers?
Solution :
`5 8/7 + 5 8/7 = ?`
Convert Mixed fraction into fration
`5 8/7 = ((5\times7)+8)/7`
= `(35 + 8)/7`
` = 43/7`
`6 4/5 = ((6\times5)+4)/5`
= `(30 + 4)/5`
` = 34/5`
denominator of the two fraction is different. Therefore, find lcm for two denominators (7, 5) = 35
Multiply lcm with both numerator & denominator
`43/7 + 34/5 = (43\times35)/(7\times35) + (34\times35)/(5\times35)`
= `(43\times5)/(35) + (34\times7)/(35)`
= `(215)/(35) + (238)/(35)`
Add two numerator of the fraction
`(215)/(35) + (238)/(35) = (215 + 238)/35 = 453/35`
`5 8/7 + 5 8/7 = 453/35`
Mixed numbers addition calculator uses two mixed numbers, i.e. two numbers in terms of a whole numbers and proper fractions, $A\frac{a}{b}$ and $B\frac{c}{d}$ for positive integers $a,b,c$ and $d$, and calculates their sum. It is an online tool for finding the sum in the simplest form of two mixed numbers and give the step by step procedure for adding two mixed numbers.
It is necessary to follow the next steps:
A mixed number $A\frac ab$ or sometimes called a \underline{mixed fraction} represents the sum of a nonzero integer number $A$ and a proper fraction $\frac ab$. The numerator $a$ and denominator $b$ of the proper fraction must be positive integers.
In the notation of mixed numbers, the sum does not explicitly use operator plus. For example, two pizza and one-third of another pizza is denoted by $2\frac 13$ instead of $2+\frac 13$.
Negative mixed number, for example $-2\frac 13$ represents the sum $-(2+\frac 13)$. Mixed numbers can also be written as decimals, for example, $2\frac 12=2.5$.
Improper fractions are rational numbers where the numerator is greater than the denominator. Improper fractions can be rewritten as a mixed number in the following way:
Mixed numbers are useful in counting whole things and parts of these things together. It is used primarily in measurement. Especially of interest are mixed numbers whose denominator of the fractional part is a power of two. They are commonly used with U.S. customary units such as inches, pounds, etc. For instance, $1\; {\rm inch}=2\frac{54}{100}\; \rm{cm}$.
Practice Problem 1:
The biggest watermelon from Joe's farm is $13\frac 13$ kilograms, which is $1\frac 23$ kilograms more than
the average weight of watermelon from Ann's. What is the average weight of watermelon from Ann's farm?
Practice Problem 2:
A market opens for $3\frac 13$ hours in the morning and $4\frac 17$ hours in the afternoon. How long has the market opened for the day?
The mixed numbers addition 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 addition of two or more numbers represented as mixed numbers. Using this concept they can be able to solve complex algebraic problems and equations.