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To add or subtract fractions you need a common denominator... Meaning the same number has to be the same in the bottom of both fractions. Adding: If they are the same your answer will have that number in the answer for the denominator…. The top numbers (numerator) you just add together to get you answer. To get a common denominator from two different numbers you need to create and list the multiples of both numbers until you get the same number in both. Example: 18 and 12 from problem 5 18: 18, 36, 54… 12: 12, 24, 36, 48… 36 is our common denominator for this problem.
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Absolute Value is the distance from zero. What is inside the absolute value will always be positive.
The Exception is in Answers 3 and 4:
If there is a negative outside of the absolute value, the answer will change to a negative
Example - Problem a:
Numbers have opposite signs… so we need to subtract.
Which one is further from 0… -5 or 3
-5 so our answer will be negative (-)
Subtract the number closer to zero from the one further from zero.
5-3 = 2 we know answer will be negative. So answer is -2
*Note if both number have same sign you add… Problem f: -3 + -3 = -6
To add or subtract fractions you need a common denominator... Meaning the same number has to be the same in the bottom of both fractions.
Adding:If they are the same your answer will have that number in the answer for the denominator…. The top numbers (numerator) you just add together to get you answer.To get a common denominator from two different numbers you need to create and list the multiples of both numbers until you get the same number in both.
Example: 18 and 12 from problem 5
18: 18, 36, 54…12: 12, 24, 36, 48…
36 is our common denominator for this problem.
From there we multiply 13 in the numerator by 2, the number we multiplied 18 by to get 36… and we get 26 over 36. We do the same for the second fraction; only, in this case we multiplied 12 by 3, so we multiply 5 by 3 and get 15. Add the numerators together and you will get 26 + 15 = 41. your answer will be The numerator should not be bigger than the denominator… we have to make a mixed number.Simplify and you will get 1 as the answer.
Example - Problem 1:
Numbers have opposite signs… so we need to subtract.
Which one is further from 0… 5.4 or -9.7
-9.7 so our answer will be negative (-)
Subtract the number closer to zero from the one further from zero.
9.7-5.4 = 4.3 we know answer will be negative. So, answer is -4.3
*Note if both number have same sign you add… Problem 4: -4.79 + -0.4 = -5.19
Example - Problem 1:
Multiply numerators: 5 x 1 = 5
Multiply denominators:4 x 3 = 12
would normally be the answer… but, did you notice there was a negative sign out front of the first fraction? There is only one negative so it will change the answer to a negative.
- is the answer to problem 1.
Example - Problem 11:
Division of fractions:
Keep – Change – Flip
1. Keep the first fraction the same:
2. Change the sign from division to multiplication
3. Flip the second fraction:
4. Multiply.5. Only One of the fractions is
negative… so our answer will also be negative.
6. Answer -
Explanation:
Draw a number line that contains -6, 0, 9…. Then find and write the distance between the two numbers.
To find distance:-6 and 9 are on opposite sides of zero; so, we will be finding the absolute value of both numbers, -6 and 9…. Which will be 6 and 9 (Absolute Value is always positive) and then add them together.
6 + 9 = 15, your answer, in addition to drawing the number line will be 15, this will earn all of the points for this problem.
Math Properties:
Step 1: Convert fraction to Decimal:
Divide the numerator by the denominator:
1 ÷ 5 = 0.2 (Decimal)
Step 2: Then convert Decimal to percent:
Move decimal two places to the right…Your answer should be 20%.
Vocabulary:
