What rule must you follow before adding and subtracting fractions?
They must have a common denominator
**To add fractions you must have a common denominator***
100
What is the special rule for dividing fractions?
multiply the first fraction by the reciprocal (or flip) of the second fraction
***When multiplying and dividing, if the signs match, the answer will be positive***
100
If a pie is cut into sevenths, how many pieces make up the whole?
seven
***Benchmark fractions and decimals are ones that are commonly used and you should memorize***
100
There is 5/8 of a pie left. Autumn gets 2/3 of the left-over pie. How much does she get?
5/12
***When comparing fractions we can find common denominators or use our benchmarks***
100
What is 2 5/7 as an improper fraction (not reduced)
19/7
200
With which operation(s) you would use the Keep Change Change or Add the Opposite rule?
Subtraction
**To subtract fractions you must have a common denominator**
200
Would the answer to -5/3*-4/7 be positive or negative? Why?
positive because the signs match
***When multiplying and dividing, if the signs don't match the answer will be negative***
200
What is 1/8 as a decimal?
0.125
***All fractions can be written as decimals and all decimals can be written as fractions***
200
is 0.189 > < = 0.4? Why?
less than. 0.4 is the same as 0.400
***To find a mixed number you figure out how many wholes there are by dividing the numerator by the denominator and then taking the remainder and putting it over the denominator***
200
What is 25/3 as a mixed number?
8 1/3
300
A negative number plus a negative number always equals...
a negative number
***When adding fractions if the signs don't match, you actually subtract***
300
When multiplying and dividing fractions do you need to find a common denominator? Why or why not?
No because you are talking about separating the pieces in a different way.
***When multiplying fractions you multiply the numerators and then multiply the denominators and then simplify***
300
How can you turn a fraction into a decimal?
numerator divided by denominator
***The numerator tells the number of pieces we are talking about***
300
3/12 * (-9/6) =
-3/8
***To make an improper fraction multiply the denominator by the whole number and add the numerator. The denominator stays the same***
300
-4/5 - (-2/3) =
-2/15
400
Does 2/5+2/5=5/10 Why or why not?
No because you cannot simply add the numerators and denominators. The pieces have to be the same size.
***When subtracting positive and negative numbers you must use KCC or AtO***
400
When you see the word "of" what operation does it mean to do?
multiply.
***When dividing fractions you must flip the second fraction (find the reciprocal) and then multiply***
400
What is 2/3 as a decimal?
0.6 repeating
***the denomintor tells how many pieces are in the whole***
400
reduce -56/-64 to lowest term
7/8
***of means multiply***
400
Terry eats 1/5 of the pizza and Hunter eats 1/3 of the pizza. Together, how much of the pizza did they eat?
8/15
500
What are the rules for solving a problem in which you have a negative number plus a positive number?
You must figure out which number is bigger and the answer takes the sign of the bigger number.
Then you subtract the smaller number from the bigger number.
***When adding numbers and the signs don't match, the answer will take the sign of the bigger number***
500
When we multiply fractions does the answer get bigger or smaller than the original fractions that were multiplied? Why?
Smaller. You are starting with a part of a whole and only taking a portion of that part.
***to get an equivalent fraction you must multiply or divide both the numerator and denominator by the same number***
500
What is the rule for changing a decimal to a fraction?
write the decimal as the numerator without a decimal point. Put a one in the denominator and add as many 0's as there are digits after the decimal point in the original number. Then reduce.
***A fraction is a part of a whole***
500
Order the following from least to greatest:
1/3 0.25 1/5 1/10 .35 1.6
1/10, 1/5, 0.25, 1/3 .35, 1.6
***All fractions should be reduced to simplest form***
500
Jeannine's recipe calls for 2/3 of a cup of milk but she is cutting the recipe in half. How much milk does she need to put in the recipe?