Math fraction activities
Introduction :
These articles we are discussing about solving the math fraction activities. 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)
Math fractions activities are solving the simple addition fraction, multiplication fraction and subtraction fraction.
Math fraction activities-Example problems:
Example 1:
Add the fractions for given two fraction, `4/12` + `2/12`
Solution:
The given two fractions are `4/12` + `2/12`
The same denominators of the two fractions, so
= `4/12` + `2/12`
Add the numerators the 4 and 2 = 4+2 = 6.
The same denominator is 12.
= `6/12`
The addition fraction solution is `1/2` .
Example 2:
Subtract the fractions for given two fractions` 4/6` - `3/5`
Solution:
The denominator is different so we take a (lcd) least common denominator
LCD = 6*5 = 30
So multiply and divide by 5 in first term we get
`(4 * 5) / (6 * 5)`
=`20/30`
Multiply and divide by 6 in second terms
= `(3*6) / (5*6)`
= `18/30`
The denominators are equals
So subtracting the numerator directly = `(20-18)/30`
Simplify the above equation we get = `2/30`
Therefore the final answer is `1/15`
Example 3:
Multiply the fractions for given two fraction, `4/10` * `5/8`
Solution:
The given two fractions are `4/10` * `5/8`
The same denominators of the two fractions, so
= `4/10` * `5/8`
Multiply the numerators the 4 and 5 = 4*5 = 20.
Multiply the denominators the 10 and 8 = 10 * 8= 80
= `20/80`
The multiply fraction solution is `1/4`
Example 4:
Dividing fraction:
`8/3 ` divides `2/4`
Solution:
First we have to take the reciprocal of the second number
Reciprocal of `2/4` = `4/2`
Now we multiply with first term we get
`8/3` * `4/2`
Multiply the numerator and denominator
`(8*4) / (3*2)`
Simplify the above equation we get
= `32/6`
Therefore the final answer is `16/3`
Math fraction activities-practice problems:
Problem 1: Add the two fraction `12/13` +`2/13`
Solution: `14/13`
Problem 2: Subtract two fractions `10/10 ` – `6/10`
Solution: `2/5`
Problem 3: multiply two fractions `6/5` * `2/5`
Solution: `12/25`
Problem 4: Dividing two fractions` 6/3` * `2/4`
Solution: 4
These articles we are discussing about solving the math fraction activities. 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)
Math fractions activities are solving the simple addition fraction, multiplication fraction and subtraction fraction.
Math fraction activities-Example problems:
Example 1:
Add the fractions for given two fraction, `4/12` + `2/12`
Solution:
The given two fractions are `4/12` + `2/12`
The same denominators of the two fractions, so
= `4/12` + `2/12`
Add the numerators the 4 and 2 = 4+2 = 6.
The same denominator is 12.
= `6/12`
The addition fraction solution is `1/2` .
Example 2:
Subtract the fractions for given two fractions` 4/6` - `3/5`
Solution:
The denominator is different so we take a (lcd) least common denominator
LCD = 6*5 = 30
So multiply and divide by 5 in first term we get
`(4 * 5) / (6 * 5)`
=`20/30`
Multiply and divide by 6 in second terms
= `(3*6) / (5*6)`
= `18/30`
The denominators are equals
So subtracting the numerator directly = `(20-18)/30`
Simplify the above equation we get = `2/30`
Therefore the final answer is `1/15`
Example 3:
Multiply the fractions for given two fraction, `4/10` * `5/8`
Solution:
The given two fractions are `4/10` * `5/8`
The same denominators of the two fractions, so
= `4/10` * `5/8`
Multiply the numerators the 4 and 5 = 4*5 = 20.
Multiply the denominators the 10 and 8 = 10 * 8= 80
= `20/80`
The multiply fraction solution is `1/4`
Example 4:
Dividing fraction:
`8/3 ` divides `2/4`
Solution:
First we have to take the reciprocal of the second number
Reciprocal of `2/4` = `4/2`
Now we multiply with first term we get
`8/3` * `4/2`
Multiply the numerator and denominator
`(8*4) / (3*2)`
Simplify the above equation we get
= `32/6`
Therefore the final answer is `16/3`
Math fraction activities-practice problems:
Problem 1: Add the two fraction `12/13` +`2/13`
Solution: `14/13`
Problem 2: Subtract two fractions `10/10 ` – `6/10`
Solution: `2/5`
Problem 3: multiply two fractions `6/5` * `2/5`
Solution: `12/25`
Problem 4: Dividing two fractions` 6/3` * `2/4`
Solution: 4