Study learn fraction
Introduction : These articles we are discussing about free fraction study learn fraction solving problems. A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development were the common or "vulgar" fractions which are still used today (`1/2` , `5/8` , `3/4` etc.) and which consist of a numerator and a denominator. (Source – Wikipedia)
Study learn fraction problems solve for simple addition fraction, multiplication fraction, subtraction fraction and dividing fraction. To learn more on fraction we need fraction help .
Study learn fraction-Example problems:
Example 1:
Add the fractions `9/40` + `7/40`
Solution:
The given two fractions are `9/40` + `7/40`
Here both the fractions have equal denominators, so take the common denominator, here 40
= `9/40` + `7/40`
Add the numerators directly = 9+7 = 16.
= `16/40`
The addition fraction solution is `2/5` .
Example 2:
Subtract the fractions `4/5` –` 3/6`
Solution:
The denominator is different so we have to take least common denominator (lcd).
LCD = 5 x 6 = 30
`(4 xx 6)/ (5 xx 6)` = `24/30` and `(3 xx 5)/ (6 xx 5) ` = `15/30`
`24/30` – `15/30`
The denominators are equals
So subtracting the numerator directly = `(24-15)/30`
Simplify the above equation we get = `9/30`
Therefore the final answer is `3/10`
Example 3:
Multiply the fractions `3/4` x `6/3`
Solution:
The given two fractions are `3/4` x `6/3`
Multiply the numerators; we get 3 x 6 = 18
Multiply the denominators; we get 4 x 3 = 12
= `18/12`
The multiply fraction solution is `3/2`
Example 4:
Dividing fraction:
`5/2` divides` 2/4`
Solution:
First we have to take the reciprocal of the 2nd number, and then multiply with the second one
Reciprocal of `2/4` = `4/2`
`5/2` x `4/2`
Multiply the numerator and denominator
`(5 xx 4)/ (2 xx 2)`
Simplify the above equation we get
= `20/4`
Therefore the final answer is 5
Study learn fraction-practice problems:
Problem 1: Add the two fraction` 6/10` + `4/10`
Solution: 1
Problem 2: Subtract two fractions` 5/5` – `8/5`
Solution:` -3/5`
Problem 3: multiply two fractions `3/4` x `3/4`
Solution:` 9/16`
Problem 4: Dividing two fractions `3/2` and `4/2`
Solution: `3/4`
Study learn fraction problems solve for simple addition fraction, multiplication fraction, subtraction fraction and dividing fraction. To learn more on fraction we need fraction help .
Study learn fraction-Example problems:
Example 1:
Add the fractions `9/40` + `7/40`
Solution:
The given two fractions are `9/40` + `7/40`
Here both the fractions have equal denominators, so take the common denominator, here 40
= `9/40` + `7/40`
Add the numerators directly = 9+7 = 16.
= `16/40`
The addition fraction solution is `2/5` .
Example 2:
Subtract the fractions `4/5` –` 3/6`
Solution:
The denominator is different so we have to take least common denominator (lcd).
LCD = 5 x 6 = 30
`(4 xx 6)/ (5 xx 6)` = `24/30` and `(3 xx 5)/ (6 xx 5) ` = `15/30`
`24/30` – `15/30`
The denominators are equals
So subtracting the numerator directly = `(24-15)/30`
Simplify the above equation we get = `9/30`
Therefore the final answer is `3/10`
Example 3:
Multiply the fractions `3/4` x `6/3`
Solution:
The given two fractions are `3/4` x `6/3`
Multiply the numerators; we get 3 x 6 = 18
Multiply the denominators; we get 4 x 3 = 12
= `18/12`
The multiply fraction solution is `3/2`
Example 4:
Dividing fraction:
`5/2` divides` 2/4`
Solution:
First we have to take the reciprocal of the 2nd number, and then multiply with the second one
Reciprocal of `2/4` = `4/2`
`5/2` x `4/2`
Multiply the numerator and denominator
`(5 xx 4)/ (2 xx 2)`
Simplify the above equation we get
= `20/4`
Therefore the final answer is 5
Study learn fraction-practice problems:
Problem 1: Add the two fraction` 6/10` + `4/10`
Solution: 1
Problem 2: Subtract two fractions` 5/5` – `8/5`
Solution:` -3/5`
Problem 3: multiply two fractions `3/4` x `3/4`
Solution:` 9/16`
Problem 4: Dividing two fractions `3/2` and `4/2`
Solution: `3/4`