| A | B |
|---|
| Simplify the fraction: 35/75 | 7/15 (Remember: to simplify, you divide the numerator and denominator by their greatest common factor (5) to find it's simplist form) |
| Simplify the fraction: 2 11/33 | 2 1/3 (Remember: to simplify, you divide the numerator and denominator by their greatest common factor (11) to find it's simplist form) |
| Compare the following: 3/4____6/7 | < (Remember: You need to find a common denominator for each fraction using their least common multiple (28). Make your new fractions by multiplying 45/72 is now compared to 48/72.) |
| Compare the following: 2/3____2/5 | > (Remember: You need to find a common denominator for each fraction using their least common multiple (15). Make your new fractions by multiplying 10/15 is now compared to 6/15.) |
| Compare the following: 2 1/4____9/4 | = (Remember: You need to find a common denominator for each fraction using their least common multiple (4). However, you need to also make them both into proper fractions to compare them. Since 2 1/4 is already proper, you need to divide 9 by 4 to make it a mixed number. Since 9/4 is = 2 1/4, they are equal.) |
| Change this mixed number into an improper fraction: 3 1/5 | 16/5 (Remember: To make an improper fraction, multiply the denominator by the whole number, and then add the numberator. So, 5 x 3 + 1= 16. Finally, place this number on top of the original denominator 16/5.) |
| Change this mixed number into an improper fraction: 2 5/6 | 17/6 (Remember: To make an improper fraction, multiply the denominator by the whole number, and then add the numberator. So, 6 x 2 + 5= 17. Finally, place this number on top of the original denominator 17/6.) |
| Change this mixed number into an improper fraction: 10 1/4 | 41/4 (Remember: To make an improper fraction, multiply the denominator by the whole number, and then add the numberator. So, 4 x 10 + 1= 41. Finally, place this number on top of the original denominator 41/4.) |
| Change this improper fraction into a mixed number (simplify your answer if possible): : 28/7 | 4 (Remember: To make an improper fraction into a mixed number, you divide the numerator by the denominator. So, 28 divided by 7 = 4 with no remainder. Since there is no fractional piece left over, 4 is your answer.) |
| Change this improper fraction into a mixed number (simplify your answer if possible): 27/6 | 4 1/2 (Remember: To make an improper fraction into a mixed number, you divide the numerator by the denominator. So, 27 divided by 6 = 4 remainder 3. Place the whole number in front of the fraction, and then place the remainder on top of the original denominator. So, 4 3/6 is the new mixed number. However, 3/6 can be reduced since three can go into both 3 and 6. So, 4 1/2 is the new fraction in simplest form.) |
| Change this improper fraction into a mixed number (simplify your answer if possible): 9/4 | 2 1/4 (Remember: To make an improper fraction into a mixed number, you divide the numerator by the denominator. So, 9 divided by 4 = 2 remainder 1. Place the whole number in front of the fraction, and then place the remainder on top of the original denominator. So, 2 1/4 is the new mixed number. Since 1 is the only number that goes into 1 and 4, 1/4 is in simplest form.) |
| What is the GCF (greatest common factor) of the 2 numbers? 21, 33 | GCF = 3 (Remember: to find the GCF, list the factors of both numbers and find the largest factor they have in common.) |
| What is the GCF (greatest common factor) of the 2 numbers? 48, 60 | GCF = 12 (Remember: to find the GCF, list the factors of both numbers and find the largest factor they have in common.) |
| Three students read a book during independent reading time. Luke read 3/5 of his book, Ken read 1 /5 of his book, and Chase read 2/15 of his book. Put these amounts in order from the shortest to longest. | Chase, Ken, Luke (Remember: You must find common denominators for all three fractions before you can compare them. Since the GCF is 15, you need to make them into fractions with 15 as the new denominator before you can compare.) |
| Write these fractions in order from least to greatest: 2/4, 3/8, 3/10 | 3/10, 3/8, 2/4 (Remember: You must find common denominators for all three fractions before you can compare them. Since the GCF is 40, you need to make them into fractions with 40 as the new denominator before you can compare.) |
| What is the LCM (least common multiple) of these numbers: 6, 8 | 24 (Remember: to find the LCM, you list several multiples for each number until you find a number that they have in common.) |
| What is the LCM (least common multiple) of the numbers: 7, 14 | 14 (Remember: to find the LCM, you list several multiples for each number until you find a number that they have in common.) |
| Simplify the fraction: 3 4/3 | 4 1/3 (Since 4/3 is an improper fraction, you have to make it a mixed number. Divide 4 by 3 = 1 1/3. Finally, you add your whole numbers together 3 +1=4 and then place your new fraction on the whole numbers. So, 4 1/3 is the simplest form.) |
What is this amount as a decimal?,  | 0.65 (Since there are sixty-five out of 100 blocks shaded, it is sixty-five hundredths.) |
| What is this amount as a fraction in lowest terms?, | 13/20 (Take 65/100 and reduce by dividing the numerator and denominator by a common factor (5). Scine 65 divided by 5=13 and 100 divided by 5 = 20, your reduced fraction would be 13/20.) |
Mrs. Halford baked brownies for two of her math classes. The shaded region below shows the brownies leftover in each class. If the leftover brownies are put together in one pan, what fraction of one pan of brownies would there be?,  | 7/9 (If you were to move all 7 brownies into one pan, you woul have 7 out of 9 peices in one pan.) |
The table shows the number of test questions some students answered correctly. Same answered 3/5 of his questions correctly. What student in the table also answered 3/5 of the questions correctly?,  | Anne (You need to find a common denominator between 3/5 and the scores in the chart. Since the scores in the chart have a denominator of 10, mulitply 3 and 5 by 2 to make 6/10.) |
Fill in the missing number:,  | 12 (Since 4 x 4 = 16, multiply 3 by 4 to find the missing number.) |
Fill in the missing number:,  | 4 ( Since 12 divided by 2 = 6, then 8 divided by 2 = 4.) |
| Victor had 7/8 of a bag of candy. He gave 3/8 of the candy to his friends. What fraction of the candy was left? (Put your answer in simplest form) | 1/2 ( Since he gave the candy away, you need to subtract 7/8 and 3/8 which equals 4/8. This fraction can be reduced by divideing the numberator and denominator by 4 to get 1/2.) |
| Give two fractions that are equivalent to 5/7. | Possible Answers: 10/14, 15/21, 20/28, 25/35, 30/42 (to create an equivalent fraction, multiply the numerator and denominator by any number (it must be the same number each time). For example: 5/7 becomes 10/14 by multiplying 5 and 7 by 2. |
| What decimal is equivalent to 9/10? | 0.9 (Remember: The tenths place is the first place behind the decimal.) |
| What decimal is equivalent to 5/100 | 0.05 (Remember: The hundredths place is the second place behind the decimal.) |
| Add and simplify: 4 5/6 + 3 5/6 | 8 2/3 (First add the fractions and the whole numbers to get 7 and 10/6. Since 10/6 is improper, you divide to make it 1 and 4/6. Now add the whole numbers together to get 8 and 4/6. Now reduced 4/6 to 2/3 by dividing the numerator and denominator by 2 so that your answer is simplified.) |
| Matthew rode his bike 4/9 miles, Chad rode his bike 2/9 miles, and Dan rode his bike 2 5/9 miles. What is their total milage in simplest form? | 3 2/9 miles (Add all of the fractions - keep the denominator the same. 2 5/9 + 2/9 + 4/9 = 2 11/9. Since your fraction is improper, you need to convert it to a mixed number 11/9 = 1 2/9. Now add 2 + 1 2/9 = 3 2/9) |
| Mrs. Petet's teacher bag weighed 8 7/8 pounds. Mrs. Blackwell's weighed 7 6/8 pounds. How much more does Mrs. Petet's back weigh. | 1 1/8 pounds (First, you need to stack the fractions with the larger number on top. So 8 5/8 - 7 6/8. Since you cannot subtract 6/8 from 5/8, you need to borrow from the 8 to add one whole to 5/8 (add 8/8 + 5/8) to get 13/8. Now subtract 13/8 - 6/8 =7/8. Then subtract the whole numbers 7 - 7 = 0.) |
