1. Division Fractions Estimating & Measuring Dimensions
Math Test Review
Division
Fractions
Estimating & Measuring Dimensions

2. Division
54 ÷ 6 = 9
DIVISOR
DIVIDEND
QUOTIENT

3. Division
Does Divide McDonald’s Multiply Sell Subtract Cheese Check Burgers? Bring Down

4. Multiply to find what you’ve divided so far
If the divisor can’t fit into the first digit of the dividend, take the dividend’s first two digits and divide them by the divisor.
Multiply to find what you’ve divided so far
Subtract to find the extra
Check to see if you have anything left to divide. If what’s left after you subtract can’t be divided by the divisor, bring down the next digit from your dividend
Repeat these steps until you have divided your entire dividend and you have nothing remaining.

5. Fractions Numerator Fraction Line Denominator # of pieces
Total pieces in
the whole

6. Expressing Fractions Using Ratios
It represents a comparison between 2 quantities.
Here, the ratio 1:3 compares the one red apple to the 3 green apples.
There are 3 times more green apples than red ones, or there is one red apple for every 3 green apples.

7. Equivalent Fractions
They represent the same value in relation to the whole (the same surface)
To find equivalent fractions, multiply or divide the numerator and denominator by the same number
3/4 and 6/8 are equivalent fractions because 3 x 2 = 6 and 4 x 2 = 8

8. Reducing Fractions
Making the smallest possible equivalent fraction by finding the greatest common divisor of the numerator and denominator
Divisors of 15: 1, 3, 5, 15
Divisors of 20: 1, 2, 4, 5, 10, 20

9. Comparing Fractions
When fractions have the same numerator, compare only the denominators. The smallest fraction has the greatest denominators.
When fractions have the same denominator, compare only the numerators. The greatest fraction has the greatest numerator.

10. Comparing Fractions
When fractions don’t have the same numerator or denominator, put them over a common denominator.
Find the denominators’ lowest common multiple (LCM). Transform each fraction so the denominators match the LCM.

11. Adding & Subtracting Fractions
If your fractions have the same denominator, simply add or subtract the numerators
The denominators stay the same.

12. Adding & Subtracting Fractions with Different Denominators
If you have to add or subtract fractions with different denominators, put them over a common denominator. To do this, find the greatest denominator.
1/3 + 2/ /3 – 2/9
Check whether the greatest denominator (9) is a multiple of the other denominator. If it isn’t, find the LCM.
Convert the fraction (1/3) into an equivalent fraction with 9 as the denominator. 9 becomes the common denominator.
Add/subtract your fractions!

13. Multiplying Fractions by a Natural Number
Multiply the numerator by the integer (or natural number)
The denominator stays the same
If your numerator is bigger than your denominator, your fraction represents more than 1 whole
Reduce a fraction to its simplest form whenever possible

14. Estimating and Measuring Dimensions
Unit km hm
dam m dm cm mm
Equiv. 1 10
100
1 000
10 000
To move up or down the conversion table, multiply by 10 (move the decimal to the right) or divide by 10 (move the decimal to the left)
Each unit of measure is 10 times greater than the unit to its right
Each unit of measure is 10 times smaller than the unit to its left

15. Division
1. 75 ÷ 3
÷ 10

16. Equivalent Fractions
Find 3 equivalent fractions for the following: 3. 1/4 4. 3/ /2

17. Reducing Fractions
Reduce the following fractions to their simplest form: 6. 6/ / /12

18. Multiplying Fractions
9. 6/10 x 4
10. 1/3 x 2

19. Adding & Subtracting Fractions
11. 1/4 + 2/4
12. 8/10 – 3/5

20. Ordering Fractions
Place the following in increasing order: 13. 1/10, 6/10, 3/10, 9/10, 7/ /6, 6/12, 5/6, 11/12, 2/3

21. Estimating & Measuring
Convert the following: km = _____ mm cm = _____ m m = _____ km

22. Division
÷ 3
÷ 4

23. Equivalent Fractions
Find 3 equivalent fractions for each: / / /8

24. Reducing Fractions
Reduce the following to simplest form: 23. 7/ / /6

25. Multiplying Fractions
26. 4/5 x /10 x /30 x /5 x 2

26. Adding & Subtracting Fractions
30. 16/20 – 4/20
31. 3/9 + 1/3

27. Ordering Fractions
Place the following fractions in decreasing order: 33. 1/5, 5/10, 3/20, 2/10, 16/ /12, 5/7, 5/5, 5/8

28. Estimating & Measuring
Convert the following: dm = _____ m km = _____ dm mm = _____km