Equivalent
Fractions
Fractions
frac{2}{3} = frac{8}{t}
t = 12
Draw a rectangular fraction model to find the sum of
frac{1}{2}+frac{1}{3}
Teacher: draw on board
Teacher: Draw on board
frac{3}{4} + frac{2}{3}
17/12
BONUS: Change the greater-than-1 fraction into a mixed number
2frac{1}{3} - 1frac{1}{5}
1frac{2}{15}
Wayne spent $4 on 5 packs of sport cards. How much did Wayne spend on each pack?
.80 or 80 cents
BONUS: How much would she spend on 10 cards?
Solve the following. BONUS if in simplest form
frac{3}{6} * frac{6}{8}
frac{18}{48} = frac{3}{8}
Solve problem, then for a BONUS show answer in mixed number form:
4 div frac{5}{8} = x
x = frac{32}{5} = 6frac{2}{5}
frac{8}{10} = frac{m}{40}
m = 32
Show the following number on a number line:
frac{7}{8}
Teacher: Draw on board
frac{5}{7} + frac{1}{2}
17/14
BONUS: Change the greater-than-1 fraction into a mixed number
Answer, in simplest form:
1frac{3}{10} - frac{1}{6}
frac{2}{15}
Dale used seven pounds of birdseed to fill 5 identical bird feeders. What fraction of the birdeed will Dale need to fill each feeder? Don't forget the unit.
1.4 pounds
frac{3}{8} of 24
9
Maxine has $240. She spent 3/5 of her money and saved the rest. Hint: tape diagram will help solve this problem quite easily
How much did she spend?
Bonus: How much did she save?
spent: $144
saved: $96
Jace ate 6 out of the 18 crackers he had from the packet. If Jace ate the same ratio, but he had a packet of 36 crackers, how many crackers did Jace eat? Hint:
frac{ate}{packet}=frac{6}{18}=frac{?}{?}
Jace would have eaten 12 crackers
Show the following number on a number line:
frac{6}{5}
Teacher: Draw on white board
1frac{3}{4} + 2frac{1}{6}
3frac{11}{12}
5frac{2}{6} - 2frac{3}{4} = a
a = 3frac{7}{12}
There are 3/5 as many boys as girls in a fifth grade class. If there are 35 students in the class, how many are girls? Use a tape diagram.
14 girls
frac{1}{3} of 18
6
Dale bought a case (24 boxes) of fruit juice, one-third of the drinks were grape, and two-thirds were cranberry. How many boxes of each flavor did Dale buy. MUST show your work in tape diagram form.
Teacher: draw on board
Answer: grape 8 boxes, cranberry 16 boxes
Maggie attempted to make 25 shots into the basket. She did get some in the hoop. Maxine shot 100 times and made it into the hoop 40 times. If they shot at the same ratio, how many successful shots did Maggie make into the hoop? Hint:
frac{made}{tried}=frac{m}{25}=frac{40}{100}
m = 10
Draw a rectangular fraction model to find the sum of:
frac{2}{3}+frac{4}{7}
Teacher: Show rec fraction model on board (26/21)
BONUS!! Change the answer into a mixed number
In simplest form (or reduced), calculate:
frac{8}{16} + frac{2}{8}
frac{3}{4}
8frac{3}{4} - 5frac{5}{6}
2frac{11}{12}
To make punch for the class party, Keira mixed together 1 1/3 cups orange juice, 3/4 cup apple juice, 2/3 cup cranberry juice, and 3/4 cup lemon-lime soda. Mixed together, how many cups of punch did Keira's recipe make? Remember the unit
BONUS: Change the answer to most reduced mixed number
frac{30}{12} = 2frac{2}{3}
Wayne had 5/8 of a can of paint. He split it into 6 containers. How much of the can of paint did Wayne have in each container?
Bonus: answer is in mixed number form
Double bonus: Answer is in mixed number form and reduced to its simplest form
frac{30}{8} = 3frac{6}{8} = 3frac{3}{4}
Using a tape diagram, how many inches is 3/4 of a yard? (Reminder: 1 yd = 36 in)
24 inches
frac{16}{40}=frac{p}{10}
p = 4
Show the following expression on a number line: (Hint: How many parts will be in each whole?)
2 + 1frac{1}{5}
Teacher: Draw on the board
Reduce the following fraction to its simplest form:
frac{8}{36}
frac{2}{9}
Keira jogged 3 5/7 km. Her brother jogged 2 4/5 km. How much farther did Keira jog than her brother?
3frac{5}{7} - 2frac{4}{5} = frac{32}{35}
Maggie has 5 pieces of ribbon, each 1 yard long. She cuts each ribbon into sixths. How many sixths will she have after cutting all the ribbons?
DRAW A PICTURE
Teacher: Draw the picture
Maggie will have 30 (1/6) pieces of ribbon
BONUS: How long will each of the sixths be in inches?
In simplest form, solve:
frac{40}100 *frac{3}{10} = v
v = frac{120}{1000} = frac{3][25}
In the following problem, try to cross-simplify once you have your multiplication set-up.
frac{60}{100} div frac{3}{10} = x
x = 2
Give 2 equivalent fractions for:
frac{3}{5}
varies, but some examples include
frac{6}{10}=frac{9}{15}=frac{12}{20}
4 - 2frac{2}{6}
Display the following expression on a number line. Hint: How many parts in each whole? Which direction will you be going?
Teacher: Draw on board
What is the following fraction as a mixed number?
frac{4}{6} + frac{2}{8} + frac{1}{12} + frac{3}{4}
BONUS: What is the simplest form of the mixed number?
1frac{18}{24}
1frac{3}{4}
8frac{4}{5} - frac{2}{3} = ? 3frac{1}{10}
8frac{2}{15}
A pallet holding 5 identical crates weighs 1/4 ton. How many tons does each crate weigh? Note: 1 ton = 2,000 pounds
Draw a tape diagram, how many parts in the tape diagram?
Teacher: Draw on the board
answer is 100 pounds
Dale (well, actually his mom) makes 1 dozen scotcheroos for his class. That day 1/3 of his 12 classmates are absent. If Dale shares them equally with the students (himself included) who are present, how many scotcheroos does each student receive? (Hint: Use a tape diagram to figure how many students are present. THEN, divide by number of scotcheroos.)
Teacher: draw tape diagram to reveal 8 students are present
12 / 8 = 1.5 scotcheroos per student
In simplest form:
frac{6}{14} div frac{6}{7} = y
y=frac{1}{2}