Vocabulary
A fraction can ___________ be renamed as a mixed number.
Word bank: sometimes, always, never
Answer: sometimes
Add the fractions.
2/5 + 3/10
Answer: 7/10
Step by step:
1) Find the LCD of 5 & 10, which is 10.
2) Change 2/5 into a new fraction using 10 as the denominator. 2/5 x 2/2 = 4/10.
3) Add the fractions with like denominators together 4/10 + 3/10 = 7/10
Subtract the fractions.
3/4 - 5/12
Answer: 1/3
Step by step:
1) Find the LCD of 4 and 12, which is 12.
2) Make a new fraction for 3/4 using 12 as the denominator. 3/4 x 3/3 = 9/12. 5/12 will stay the same since 12 is already the denominator.
3) Subtract the fractions 9/12 - 5/12 = 4/ 12.
4) Reduce 4/12 by dividing 4 and 12 by 3, which will be 1/3.
Add the mixed numbers.
5 1/2 + 2 1/8
Answer: 7 5/8
Step by step:
1) Change the mixed numbers into improper fractions. 5 1/2 = 11/2, 2 1/8 = 17/8
2) Find the LCD for 2 and 8, which is 8
3) Make a new fraction for 11/2 using 8 in the denominator, 11/2 x 4/4 = 44/8. Keep 17/8 the same since 8 is already the denominator.
4) Add your new fractions. 44/8 + 17/8 = 61/8
5) Change your improper fraction back into a whole number 61/8 = 7 5/8
Subtract the mixed numbers.
4 1/6 - 1 2/3
Answer: 2 1/2
Step by step:
1) Change the mixed numbers into improper fractions. 4 1/6 = 25/6, 1 2/3 = 5/3
2) Find the LCD for 6 and 3, which is 6
3) Make a new fraction for 5/3 using 6 in the denominator, 5/3 x 2/2 = 10/6. Keep 25/6 the same since 6 is already the denominator.
4) Subtract your new fractions. 25/6 - 10/6 = 15/6
5) Change your improper fraction back into a whole number 15/6 = 2 3/6, which reduces to 2 1/2.
The sum of a mixed number and a whole number is _________ a mixed number.
Word bank: sometimes, always, never
Answer: always
Add the fractions.
1/9 + 5/6
Answer: 17/18
Step by step:
1) Find the LCD for 9 and 6, which is 18.
2) Change 1/9 & 5/6 into new fractions using 18 as the denominators for both. 1/9 x 2/2 = 2/18, 5/6 x 3/3 = 15/18.
3) Add the new fractions together 2/18 + 15/18 = 17/18.
Subtract the fractions.
7/8 - 2/3
Answer: 5/24
Step by step:
1) Find the LCD of 8 and 3, which is 24.
2) Make new fractions for 7/8 and 2/3 using 24 as the new denominator. 7/8 x 3/3 = 21/24, 2/3 x 8/8 = 16/24.
3) Subtract the new fractions. 21/24 - 16/24 = 5/24
Add the mixed numbers.
3 1/4 + 1 5/6
Answer: 5 1/12
Step by step:
1) Change the mixed numbers into improper fractions. 3 1/4= 13/4, 1 5/6= 11/6.
2) Find the LCD for 4 and 6, which is 12.
3) Make new fractions using 12 as the denominators. 13/4 x 3/3 = 39/12, 11/6 x 2/2 =22/12
4) Add the new fractions. 39/12 + 22/12 = 61/12
5) Change your improper fraction 61/12 back into a mixed number, 61/12 = 5 1/12
Subtract the mixed numbers.
9 7/10 - 3 4/5
Answer: 5 9/10
Step by step:
1) Change the mixed numbers into improper fractions. 9 7/10 = 97/10, 3 4/5 = 19/5
2) Find the LCD for 10 and 5, which is 10
3) Make a new fraction for 19/5 using 10 in the denominator, 19/5 x 2/2 = 38/10. Keep 97/10 the same since 10 is already the denominator.
4) Subtract your new fractions. 97/10 - 38/10 = 59/10
5) Change your improper fraction back into a whole number 59/10 = 5 9/10.
1/5 is ________ used as a benchmark fraction.
Word bank: sometimes, always, never
Answer: never
Add the fractions.
1/12 + 3/8
Answer: 11/24
Step by step:
1) Find the LCD for 12 and 8, which is 24.
2) Make new fractions for 1/12 & 3/8 using 24 as the denominator. 1/12 x 2/2 = 2/24, 3/8 x 3/3 = 9/24.
3) Add the 2 new fractions together 2/24 + 9/24 = 11/24.
Subtract the fractions.
4/5 - 2/15
Answer: 10/15 or 2/3
Step by step:
1) Find the LCD of 5 and 15, which is 15.
2) Make a new fraction for 4/5 using 15 in the denominator. 4/5 x 3/3 = 12/15. 2/15 will stay the same.
3) Subtract the new fractions. 12/15 - 2/15 = 10/15.
4) 10/15 can be reduced by dividing 10 and 15 by 5, which makes the final answer 2/3.
Add the mixed number.
2 3/10 + 2 4/5
Answer: 5 1/10
Step by step:
1) Change the mixed numbers into improper fractions. 2 3/10 = 23/10, 2 4/5 = 14/5
2) Find the LCD for 10 and 5, which is 10
3) Make a new fraction for 14/5 using 10 in the denominator, 14/5 x 2/2 = 28/10. Keep 23/10 the same since 10 is already the denominator.
4) Add your new fractions. 23/10 + 28/10 = 51/10
5) Change your improper fraction back into a whole number 51/10 = 5 1/10
Subtract the mixed numbers.
9 - 3 3/8
Answer: 5 5/8
Step by step:
1) Change the mixed number into an improper fraction. 3 3/8 = 27/8.
2) Change the whole number 9 into a fraction. 9/1
2) Find the LCD for 1 and 8, which is 8.
3) Make a new fraction for 9/1 using 8 in the denominator, 9/1 x 8/8 = 72/8. Keep 27/8 the same since 8 is already the denominator.
4) Subtract your new fractions. 72/8 - 27/8 = 45/8
5) Change your improper fraction back into a whole number 45/8 = 5 5/8.
Equivalent fractions __________ have the same value.
Word bank: sometimes, always, never
Answer: always
Add the fractions.
3/7 + 1/4
Answer: 19/28
Step by step:
1) Find the LCD for 7 and 4, which is 28.
2) Make new fractions for 3/7 and 1/4 using 28 for the denominator. 3/7 x 4/4 = 12/28, 1/4 x 7/7 = 7/28.
3) Add the 2 new fractions together. 12/28 + 7/28 = 19/28.
Subtract the fractions.
12/15 - 1/6
Answer: 19/30
Step by step:
1) Find the LCD of 15 and 6, which is 30.
2) Make new fractions for 12/15 and 1/6 using 30 as the new denominator. 12/15 x 2/2 = 24/30, 1/6 x 5/5= 5/30.
3) Subtract the new fractions. 24/30 - 5/30 = 19/30.
Add the mixed number.
2 1/4 + 5 11/12
Answer: 8 1/6
Step by step:
1) Change the mixed numbers into improper fractions. 2 1/4 = 9/4, 5 11/12 = 71/12
2) Find the LCD for 4 and 12, which is 12
3) Make a new fraction for 9/4 using 12 in the denominator, 9/4 x 3/3 = 27/12. Keep 71/12 the same since 12 is already the denominator.
4) Add your new fractions. 27/12 + 71/12 = 98/12
5) Change your improper fraction back into a whole number 98/12 = 8 2/12, which reduces to 8 1/6.
Subtract the mixed numbers.
12 1/4 - 7 1/2
Answer: 4 3/4
Step by step:
1) Change the mixed numbers into improper fractions. 12 1/4 = 49/4, 7 1/2 = 15/2
2) Find the LCD for 4 and 2, which is 4
3) Make a new fraction for 15/2 using 4 in the denominator, 15/2 x 2/2 = 30/4. Keep 49/4 the same since 4 is already the denominator.
4) Subtract your new fractions. 49/4- 30/4 = 19/4
5) Change your improper fraction back into a whole number 19/4 = 4 3/4.
Give an example of the following:
a benchmark fraction
mixed number
equivalent fractions
Answer:
benchmark fractions include: 1/4, 1/3, 1/2, 2/3, 3/4
mixed number examples: 3 1/2, 4 2/3, 20 5/10, etc.
equivalent fraction examples: 1/2 = 2/4, 1/3 = 2/6, 2/3 = 6/9, 3/4 = 6/8, etc.
Add the fractions.
3/5 + 7/10
Answer:
Step by step:
1) Find the LCD for 5 & 10, which is 10.
2) Make a new fraction for 3/5 using 10 in the denominator. 3/5 x 2/2 = 6/10. 7/10 will stay the same since 10 is already in the denominator.
3) Add the new fractions together. 7/10 + 6/10 = 13/10 or 1 3/10.
Subtract the fractions.
2/3 - 2/7
Answer: 8/21
Step by step:
1) Find the LCD for 3 and 7, which is 21.
2) Make new fractions for 2/3 and 2/7 using 21 as the new denominator. 2/3 x 7/7 = 14/21, 2/7 x 3/3 = 6/21.
3) Subtract the new fractions. 14/21 - 6/21 = 8/21
Add the mixed numbers.
8 4/10 + 2 3/5
Answer: 11
Step by step:
1) Change the mixed numbers into improper fractions. 8 4/10 = 84/10, 2 3/5 = 13/5
2) Find the LCD for 10 and 5 , which is 10
3) Make a new fraction for 13/5 using 10 in the denominator, 13/5 x 2/2 = 26/10. Keep 84/10 the same since 10 is already the denominator.
4) Add your new fractions. 26/10 + 84/10 = 110/10
5) Change your improper fraction back into a whole number 110/10 = 11.
Subtract the mixed numbers.
15 6/10 - 3 4/5
Answer: 11 4/5
Step by step:
1) Change the mixed numbers into improper fractions. 15 6/10 = 156/10, 3 4/5 = 19/5
2) Find the LCD for 10 and 5, which is 10
3) Make a new fraction for 19/5 using 10 in the denominator, 19/5 x 2/2 = 38/10. Keep 156/10 the same since 10 is already the denominator.
4) Subtract your new fractions. 156/10 - 38/10 = 118/10
5) Change your improper fraction back into a whole number 118/10 = 11 8/10, which reduces to 11 4/5.