Free Fractions Study Guide

Free Fractions Study Guide:

These articles we are discussing about free fractions study guide 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)

Free fractions study guide problems solve for simple addition fraction, multiplication fraction, subtraction fraction and dividing fraction.


Free fractions study guide-Example problems:


Example 1:

Add the fractions `8/20` + `7/20`

Solution:

The given two fractions are `8/20 ` + `7/20`

Here both the fractions have equal denominators, so take the common denominator, here 20

= `8/20` + `7/20`

Add the numerators directly = 8+7 = 15.

= `15/20`

The addition fraction solution is `3/4` .

Example 2:

Subtract the fractions `4/5 ` – `3/4`

Solution:

The denominator is different so we have to take least common denominator (lcd).

LCD = 5 x 4 = 20

`(4 xx 4)/ (5 xx 4)` = `16/20` and `(3 xx 5)/ (4 xx 5)` =` 15/20`

`16/20` – `15/20`

The denominators are equals

So subtracting the numerator directly = `(16-15)/20`

Simplify the above equation we get =` 1/20`

Therefore the final answer is `1/20`

Example 3:

Multiply the fractions` 2/3` x `6/3`

Solution:

The given two fractions are `2/3` x `6/3`

Multiply the numerators; we get 2 x 6 = 12

Multiply the denominators; we get 3 x 3 = 9

= `12/9`

The multiply fraction solution is `4/3`

Example 4:

Dividing fraction:

`4/2` 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`

`4/2` x `4/2`

Multiply the numerator and denominator

`(4 xx 4)/ (2 xx 2)`

Simplify the above equation we get

= `16/4`

Therefore the final answer is 4

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Free fractions study guide-practice problems:

Problem 1: Add the two fraction `6/15` +` 4/15`

Solution: `2/3`

Problem 2: Subtract two fractions `5/5` –` 2/5`

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`