Solve math fractions problems:
In this article we are discussing the solve math fractions 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)
Solve math fractions problems is simple addition fraction, multiplication fraction, subtraction fraction and dividing fractions.
Solve Math Fractions Problems-example Problems:
Example 1:
Add the fractions for given two fraction, `3/9` + ` 3/9`
Solution:
The given two fractions are `3/9` + `3/9`
The same denominators of the two fractions, so
= `3/9 ` + `3/9`
Add the numerators the 3 and 3 = 3+3 = 6.
The same denominator is 9.
=` 6/9`
The addition fraction solution is `2/3.`
Example 2:
Subtract the fractions for given two fractions `4/6` - `6/5`
Solution:
The denominator is different so we take a (lcd) least common denominator
LCD = 6 x 5 = 30
So multiply and divide by 5 in first term we get
` (4 xx 5) / (6 xx 5)`
=`20/30`
Multiply and divide by 6 in second terms
= `(6 xx 6) / (5 xx 6)`
= `36/30`
The denominators are equals
So subtracting the numerator directly = `(20-36)/30`
Simplify the above equation we get = `-16/30`
Therefore the final answer is `-8/15`
Example 3:
Multiply the fractions for given two fractions, `4/5` x `5/4`
Solution:
The given two fractions are `4/5` x `5/4`
The multiply numerator and denominators of the two fractions, so
= `4/5` x `5/4`
Multiply the numerators the 4 and 5 = 4 x 5 = 20.
Multiply the denominators the 5 and 4 = 5 x 4= 20
= `20/20`
The multiply fraction solution is 1
Example 4:
Dividing fraction:
`4/3` 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
`4/3` x `4/2`
Multiply the numerator and denominator
`(4 xx 4) / (3 xx 2)`
Simplify the above equation we get
= `16/6`
Therefore the final answer is `8/3`
Solve Math Fractions Problems-practice Problems:
Problem 1: Add the two fraction `2/8` +`2/8`
Solution: `1/2`
Problem 2: Subtract two fractions `10/10` – ` 6/10`
Solution: `2/5`
Problem 3: multiply two fractions `3/5` x `5/5`
Solution: `3/5`
Problem 4: Dividing two fractions `6/3` and `2/4`
Solution: 4
In this article we are discussing the solve math fractions 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)
Solve math fractions problems is simple addition fraction, multiplication fraction, subtraction fraction and dividing fractions.
Solve Math Fractions Problems-example Problems:
Example 1:
Add the fractions for given two fraction, `3/9` + ` 3/9`
Solution:
The given two fractions are `3/9` + `3/9`
The same denominators of the two fractions, so
= `3/9 ` + `3/9`
Add the numerators the 3 and 3 = 3+3 = 6.
The same denominator is 9.
=` 6/9`
The addition fraction solution is `2/3.`
Example 2:
Subtract the fractions for given two fractions `4/6` - `6/5`
Solution:
The denominator is different so we take a (lcd) least common denominator
LCD = 6 x 5 = 30
So multiply and divide by 5 in first term we get
` (4 xx 5) / (6 xx 5)`
=`20/30`
Multiply and divide by 6 in second terms
= `(6 xx 6) / (5 xx 6)`
= `36/30`
The denominators are equals
So subtracting the numerator directly = `(20-36)/30`
Simplify the above equation we get = `-16/30`
Therefore the final answer is `-8/15`
Example 3:
Multiply the fractions for given two fractions, `4/5` x `5/4`
Solution:
The given two fractions are `4/5` x `5/4`
The multiply numerator and denominators of the two fractions, so
= `4/5` x `5/4`
Multiply the numerators the 4 and 5 = 4 x 5 = 20.
Multiply the denominators the 5 and 4 = 5 x 4= 20
= `20/20`
The multiply fraction solution is 1
Example 4:
Dividing fraction:
`4/3` 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
`4/3` x `4/2`
Multiply the numerator and denominator
`(4 xx 4) / (3 xx 2)`
Simplify the above equation we get
= `16/6`
Therefore the final answer is `8/3`
Solve Math Fractions Problems-practice Problems:
Problem 1: Add the two fraction `2/8` +`2/8`
Solution: `1/2`
Problem 2: Subtract two fractions `10/10` – ` 6/10`
Solution: `2/5`
Problem 3: multiply two fractions `3/5` x `5/5`
Solution: `3/5`
Problem 4: Dividing two fractions `6/3` and `2/4`
Solution: 4
