Input Data :
Fraction A = `2/3`
Fraction B = `3/2`
Objective :
Find what is fraction addition for given input data?
Solution :
A + B = `2/3 + 3/2`
denominator of the two fraction is different. Therefore, find lcm for two denominators (3, 2) = 6
Multiply lcm with both numerator & denominator
`2/3 + 3/2 = (2\times6)/(3\times6) + (3\times6)/(2\times6)`
= `(2\times2)/(6) + (3\times3)/(6)`
= `(4)/(6) + (9)/(6)`
Add two numerator of the fraction
`(4)/(6) + (9)/(6) = (4 + 9)/6 = 13/6`
`2/3+3/2 = 13/6`
Fractions addition calculator uses two proper or improper fractions, `frac{a}{b}` and `frac{c}{d}` for `b, d ne 0` and calculates their sum.
It is an online tool for finding the sum in the simplest form of two proper or improper fractions.
It is necessary to follow the next steps:
Fractions addition calculator is an online tool to find the sum of two regular or irregular fractions in fraction & decimal form. Refer the example calculations to know how to add two fractions with same or different denominators.
The problem of adding two or more fractions can be found in almost all spheres of life and science. The addition of fractions can be represented by area model.
For example, let us find the sum `\frac 3 5+\frac 1 6`.
If we divide a square into five congruent rectangles, `\frac 3 5` means `3` rectangles of the square.
If we divide the same square into `30` rectangles `18` shared rectangles have equal area as `3` previously shared rectangles. So, `\frac 3 5` is equal to `\frac {18} {30}`.
Practice Problem 1:
To make a cake, we need `7/8` of a cap of white sugar and `4/5` a cap of brown sugar. How much sugar do we need to make this cake?
Practice Problem 2:
John ate `2/5` of pizza and Sarah ate `3/11` of the same pizza. How much did they eat together?
The like and unlike fractions 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 fractions. Using this concept they can be able to solve complex real world algebraic problems and equations.
Like & Unlike Fractions Addition | |
---|---|
Fractions | Sum |
1/7 + 7/8 | 57/56 |
2/9 + 1/8 | 25/72 |
1/7 + 5/9 | 44/63 |
1/6 + 1/5 | 11/30 |
2/7 + 1/6 | 19/42 |
4/3 + 3/7 | 37/21 |
6/7 + 2/9 | 68/63 |
3/8 + 2/3 | 25/24 |
9/5 + 4/5 | 13/5 |
6/7 + 7/3 | 67/21 |
9/8 + 1/6 | 31/24 |
7/4 + 9/7 | 85/28 |
5/2 + 3/7 | 41/14 |
2/5 + 1/5 | 3/5 |
7/9 + 4/3 | 19/9 |
1/7 + 7/4 | 53/28 |
3/5 + 2/5 | 1/1 |
5/2 + 5/3 | 25/6 |
7/2 + 8/3 | 37/6 |
1/9 + 8/9 | 1/1 |
7/5 + 2/7 | 59/35 |
2/9 + 2/5 | 28/45 |
4/7 + 5/6 | 59/42 |
4/5 + 2/3 | 22/15 |
1/8 + 1/8 | 1/4 |
1/4 + 9/8 | 11/8 |
9/5 + 9/7 | 108/35 |
2/7 + 2/9 | 32/63 |
4/7 + 1/2 | 15/14 |
9/7 + 7/4 | 85/28 |
5/8 + 5/4 | 15/8 |
2/3 + 5/9 | 11/9 |
3/8 + 5/3 | 49/24 |
7/5 + 1/8 | 61/40 |
1/4 + 1/8 | 3/8 |
8/3 + 8/3 | 16/3 |
7/4 + 4/9 | 79/36 |
3/2 + 3/2 | 3/1 |
6/5 + 9/4 | 69/20 |
9/8 + 1/4 | 11/8 |
5/3 + 1/6 | 11/6 |
3/4 + 5/2 | 13/4 |
1/4 + 8/7 | 39/28 |
5/2 + 1/5 | 27/10 |
8/7 + 9/5 | 103/35 |
4/3 + 2/9 | 14/9 |
3/8 + 5/8 | 1/1 |
7/6 + 8/7 | 97/42 |
7/9 + 1/9 | 8/9 |
1/8 + 4/3 | 35/24 |
1/3 + 4/5 | 17/15 |
8/9 + 2/3 | 14/9 |
4/3 + 1/5 | 23/15 |
7/9 + 7/8 | 119/72 |
8/5 + 7/3 | 59/15 |
3/5 + 1/4 | 17/20 |
7/5 + 4/5 | 11/5 |
4/9 + 5/6 | 23/18 |
3/5 + 8/9 | 67/45 |
3/4 + 3/8 | 9/8 |
3/7 + 9/4 | 75/28 |
3/4 + 9/4 | 3/1 |
7/4 + 4/3 | 37/12 |
5/2 + 7/8 | 27/8 |
7/9 + 9/5 | 116/45 |
7/3 + 2/5 | 41/15 |
9/5 + 7/5 | 16/5 |
2/7 + 4/7 | 6/7 |
5/3 + 6/7 | 53/21 |
2/5 + 4/7 | 34/35 |
3/5 + 3/2 | 21/10 |
1/5 + 5/7 | 32/35 |
3/5 + 8/7 | 61/35 |
1/4 + 8/9 | 41/36 |
2/7 + 2/5 | 24/35 |
3/8 + 8/5 | 79/40 |
1/5 + 1/7 | 12/35 |
5/9 + 2/5 | 43/45 |
2/7 + 4/3 | 34/21 |
5/8 + 3/7 | 59/56 |
2/9 + 1/5 | 19/45 |
6/5 + 5/8 | 73/40 |
7/5 + 3/2 | 29/10 |
6/5 + 5/7 | 67/35 |
7/5 + 5/7 | 74/35 |
8/9 + 1/8 | 73/72 |
8/9 + 5/9 | 13/9 |
7/4 + 7/5 | 63/20 |
2/9 + 9/7 | 95/63 |
6/5 + 7/3 | 53/15 |
5/3 + 9/4 | 47/12 |
2/5 + 3/5 | 1/1 |
6/5 + 1/9 | 59/45 |
6/5 + 3/4 | 39/20 |
1/6 + 9/7 | 61/42 |
2/3 + 4/5 | 22/15 |
3/2 + 5/7 | 31/14 |
6/7 + 3/5 | 51/35 |
5/9 + 5/2 | 55/18 |
7/2 + 9/7 | 67/14 |