How to Add Subtract Multiply and Divide Fractions

(1) Comparing fractions (common denominators)

• First step: find a number to multiply with to be able to get the same denominator
• Second step: multiply the numerator with the same number you multiplied with your denominator
• Third step: add or subtract the top to get your final answer

(2) Order fractions from least to greatest

• First step: change the fractions to decimal form
• Second step: look at which decimal is greater or smaller
• Third place: place them in order ( BE CAREFUL WITH NEGATIVES )

To do this you can divide the numerator with the denominator, and get a decimal. Next you can rearrange the fractions in the correct order. You can also do this visually with a pie chart,

(3) Change a mixed fractions to an improper fraction

• First step: get your denominator and multiply with the whole number
• Second step: once you have multiplied, add the rest with your numerator
• Third step: once you get your improper fraction, check to see if you need to reduce it
• Fourth step: if you need to reduce, divide the numerator and denominator to the lowest term

First multiply the first number with the denominator. The number you get now becomes the numerator, and the denominator stays the same

(4) Change an improper fraction to a mixed fraction

• First step: you ask how many times the denominator can go into the numerator
• Second step: in the example below the first one shows you the 3 goes into 10 three times then you add the remainder to the numerator which is 1
• third step: if there was a negative number, you add the negative to the whole number

(5)Add and subtract fractions

You can add and subtract like fractions easily – simply add or subtract the numerators and write the sum over the common denominator.

1. Find the smallest multiple (LCM) of both numbers. (Denominator)
2. Rewrite the fractions as equivalent fractions with the LCM as the denominator

If the two denominators are not equivelant, you can use this solution, and cross multiply ^^^

Here is an example from my work: 3/5 + 5/3 = 9/15 + 25/15 = 34/15

(6) Multiply fractions

from here you have to reduce. So the final answer is 48/7

Example from my work: 1/10 x 5/4 = 5/40 —> 1/8

(7) Divide fractions

Example from my work: 2/3 divided by 1/4 = 8/3.

(8) Apply the order of operations

Using [BEDMAS]

Core Competency

For my Fractions Project  I chose the creative thinking competency, and the critical thinking competency.

I chose the creative thinking competency because I can get new ideas or build on or combine other peoples ideas to create new things within the constraints of a from, material, or problem. I build the skills the skills I need to make my ideas work, even if it takes a few tries with trial and error.

I also chose the critical thinking competency because I can gather and combine new evidence with what I already know to develop reasonable conclusions, judgements, or plans. I  can connect the results of my inquires and analyses to action.

How to Add Subtract Multiply and Divide Fractions

Source: http://myriverside.sd43.bc.ca/liamg2017/2020/02/07/adding-subtracting-multiplying-and-dividing-fractions/

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