Fractions, Mixed Numbers, and Division Expressions
Which expression represents "three divided by five" as a fraction and as a division expression?
35 and 3÷5
Add: 1/3+1/6
1/2
Subtract: 3/5−1/5
2/5
Share 5 fruit tarts equally among 8 children. What fraction of a tart does each child get?
Each gets 5/8 of a tart
Write the fraction that equals 1 whole and 2 fifths as a mixed number and as an improper fraction.
Mixed number 1 2/5; improper fraction 7/5
Add: 2 1/4 + 1 1/2
3 3/4
Subtract: 3 1/2−1 1/4
2 1/4
Dylan walked 3/4 mile, then rode the bus 8 2/5 miles. How far is his school from home?
9 3/20
Interpret the fraction 7/4 as a mixed number and explain what it means in terms of division.
7/4=1 3/4=143. It means 7÷4. 7 parts shared among 4 equal groups equals 1 whole and 3/4.
Add: 4 1/3 + 2 5/12 (Use unlike denominators.)
6 9/12 = 6 3/4
Subtract: 4 3/5−1 1/2
3 1/10
Samuel finished a 5-mile race in 1 2/5 hours. Mason finished 1/6 hour later. How long did Mason take?
1 7/30 hours
Evaluate and write as a mixed number: 11÷4
11/4 = 2 3/4
Add and simplify: 7/8 + 5/12 + 1/6
35/24 = 1 11/24
Subtract: 6 1/4−2 3/8. Show regrouping if needed.
3 7/8
Vijay had 5 1/3 lb flour and bought 2 3/5 lb more. He needs 7 1/5 lb. Does he have enough? How much left or needed? Show work.
Need 7 1/5 = 7 3/15. He has 7 14/15, which is more than needed by 11/15.
A ribbon 9/2 yards long is cut into 3 equal pieces. How long is each piece? Show the division interpretation and result.
9/2÷3=9/2 x 1/3 = 9/6 = 3/2 = 1 1/2 yards
A chef has 3 3/5 cups of flour and buys 2 4/7 more. How much flour does the chef have in total? Show work.
Convert to improper: 18/5+18/7=518+718= common denom 35: 126/35+90/35=216/35=6 6/35
Find the missing numbers in: 6 □/2 − 1 1/□=□ 1/4
6 2/4 − 1 1/2 = 5 1/4
Grace gave away 1/6 of a pie to a friend and 7/10 to her sister. What fraction of the pie did she have left? Show method and simplify.
1 - 13/15 = 2/15