Input Data :
Fraction A = `8/7`
Fraction B = `3/4`
Objective :
Find what is fraction subtraction for given input data?
Solution :
A - B = `8/7 - 3/4`
denominator of the two fraction is different. Therefore, find lcm for two denominators (7, 4) = 28
Multiply lcm with both numerator & denominator
`8/7 - 3/4 = (8\times28)/(7\times28) - (3\times28)/(4\times28)`
= `(8\times4)/(28) - (3\times7)/(28)`
= `(32)/(28) - (21)/(28)`
Subtract two numerator of the fraction
`(32)/(28) - (21)/(28) = (32 - 21)/28 = 11/28`
`8/7-3/4 = 11/28`
Fractions subtraction calculator uses two proper or improper fractions, $\frac{a}{b}$ and $\frac{c}{d}$ for $b,d\ne0$, and calculates their difference.
It is an online tool for finding the difference in the simplest form of two proper or improper fractions.
It is necessary to follow the next steps:
The result in the subtraction of numbers is \underline{a difference}. A difference of two numbers depends on their order, i.e.
the subtraction is non-commutative operation. For example, $\frac 53-\frac 13\ne \frac 13-\frac 53$.
Like the commutative property, the associative property is not satisfied for the subtraction of numbers.
When we deal with fractions, there are two types of subtraction:
Because many real-life situations deal with fractions, subtracting of fractions is very useful. The subtraction of fractions can be represented by area model.For example, let us find the difference $\frac 2 5-\frac 16$.
If we divide a square into five congruent rectangles, $\frac 25$ means $2$ rectangles of the square.
Further, by dividing the same square into $30$ rectangles $12$ shared rectangles have equal area as $2$ previously shared rectangles. So, $\frac 2 5$ is equal to $\frac {12} {30}$.
Practice Problem 1:
John walked $\frac {6}{15}$ of a path and then run $\frac 13$ of a path. How much farther did he walk than run?
Practice Problem 2:
We had $\frac {185}3$ grams of sugar. Then we used $\frac{123}{5}$ grams to make a cake. How much sugar we have left?
The fraction subtraction 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 subtraction of two numbers represented as fractions. Using this concept they can be able to solve complex algebraic problems and equations as well as real life problems.
Like & Unlike Fractions Subtraction | |
---|---|
Fractions | Difference |
9/4 - 9/8 | 9/8 |
5/6 - 5/9 | 5/18 |
7/9 - 7/2 | -49/18 |
3/5 - 1/7 | 16/35 |
2/3 - 6/7 | -4/21 |
2/9 - 1/4 | -1/36 |
7/9 - 3/7 | 22/63 |
4/9 - 4/3 | -8/9 |
8/5 - 9/5 | -1/5 |
5/7 - 2/5 | 11/35 |
4/5 - 7/8 | -3/40 |
9/4 - 1/5 | 41/20 |
7/9 - 1/2 | 5/18 |
5/9 - 4/3 | -7/9 |
3/5 - 1/6 | 13/30 |
5/6 - 5/3 | -5/6 |
7/6 - 7/3 | -7/6 |
4/7 - 7/8 | -17/56 |
8/5 - 7/4 | -3/20 |
7/4 - 8/5 | 3/20 |
7/2 - 1/2 | 3/1 |
1/6 - 3/4 | -7/12 |
1/7 - 7/2 | -47/14 |
3/4 - 5/7 | 1/28 |
9/8 - 9/4 | -9/8 |
9/8 - 3/2 | -3/8 |
1/8 - 1/4 | -1/8 |
7/2 - 8/3 | 5/6 |
2/7 - 2/5 | -4/35 |
4/7 - 3/8 | 11/56 |
7/5 - 5/4 | 3/20 |
1/9 - 8/9 | -7/9 |
8/9 - 7/8 | 1/72 |
1/3 - 7/5 | -16/15 |
8/7 - 7/4 | -17/28 |
8/7 - 7/9 | 23/63 |
5/8 - 5/3 | -25/24 |
4/5 - 3/7 | 13/35 |
4/5 - 3/5 | 1/5 |
3/4 - 4/3 | -7/12 |
1/3 - 7/4 | -17/12 |
6/5 - 6/7 | 12/35 |
3/7 - 1/9 | 20/63 |
4/7 - 2/9 | 22/63 |
7/4 - 1/8 | 13/8 |
7/5 - 5/9 | 38/45 |
2/3 - 8/5 | -14/15 |
7/6 - 6/5 | -1/30 |
8/3 - 4/7 | 44/21 |
9/7 - 1/9 | 74/63 |
1/5 - 2/7 | -3/35 |
7/8 - 5/9 | 23/72 |
8/5 - 5/7 | 31/35 |
2/5 - 7/8 | -19/40 |
5/6 - 5/2 | -5/3 |
7/5 - 7/9 | 28/45 |
3/2 - 6/5 | 3/10 |
6/5 - 1/7 | 37/35 |
2/9 - 4/5 | -26/45 |
4/7 - 9/8 | -31/56 |
3/8 - 1/6 | 5/24 |
2/5 - 4/3 | -14/15 |
9/7 - 4/5 | 17/35 |
2/9 - 1/3 | -1/9 |
3/4 - 1/3 | 5/12 |
8/9 - 6/7 | 2/63 |
7/3 - 6/5 | 17/15 |
2/3 - 1/2 | 1/6 |
7/8 - 4/3 | -11/24 |
4/9 - 7/6 | -13/18 |
5/2 - 3/5 | 19/10 |
2/9 - 5/2 | -41/18 |
2/3 - 2/7 | 8/21 |
7/6 - 5/8 | 13/24 |
1/5 - 3/4 | -11/20 |
1/8 - 5/8 | -1/2 |
7/2 - 2/9 | 59/18 |
6/5 - 1/9 | 49/45 |
2/7 - 1/4 | 1/28 |
2/7 - 8/9 | -38/63 |
6/5 - 5/8 | 23/40 |
9/8 - 3/8 | 3/4 |
9/4 - 1/6 | 25/12 |
4/5 - 3/8 | 17/40 |
8/9 - 1/3 | 5/9 |
7/3 - 6/7 | 31/21 |
1/7 - 5/6 | -29/42 |
5/9 - 9/4 | -61/36 |
8/3 - 1/7 | 53/21 |
2/5 - 7/9 | -17/45 |
5/3 - 3/8 | 31/24 |
9/4 - 8/3 | -5/12 |
1/8 - 2/3 | -13/24 |
1/9 - 7/4 | -59/36 |
2/5 - 1/9 | 13/45 |
1/7 - 5/3 | -32/21 |
9/4 - 3/4 | 3/2 |
3/8 - 1/3 | 1/24 |
5/3 - 1/7 | 32/21 |
4/9 - 1/9 | 1/3 |