Divide fractions
1/3 divided by 6
answer: 1/18
method: Divide the 1/3 into 6 equal pieces and one piece is 1/18 the whole.
Find the area of a square with a side length of 7/8 centimeters
answer: 49/64 cm2
method: A=L x W, a square has all 4 sides the same lengthMultiply fractions:
5 X 3/4
ANSWER:
15/4 or 3 3/4
Method: Multiply the numerator by the whole number. The denominator stays the same.
Multiply:
3/5 x 2/8
answer: 6/40
method: multiply the numerators and multiply the denominators
Draw a diagram for 1/3 x 1/6
answer:
4 divided by 1/2
answer: 8
method: divide each whole into 1/2 parts, there are 8 total parts
Thomas has a small bag of potatoes that each weigh 3 1/2 pounds. If he has 7 bags of potatoes, what is the total weight of all 7 bags of potatoes?
answer: 21 7/2 pounds
method: 3 1/2 x 7
Each bag weighs 3 1/2 pounds and he has 7 bags, so 7 groups of 3 1/2
Multiply fractions:
2 3/9 x 4
answer: 8 12/9 or 9 3/9 or 84/9
method: use the distributive property or turn the mixed number into an improper fraction
Multiply:
3/6 x 2/3
answer: 6/18
method: multiply the numerators and multiply the denominators
Write an equation for this diagram
answer: 3/6 x 2/3 = 6/18
method: the length (columns) is 2/3 shaded and the width (rows) is 3/6 shaded
5 divided by 1/4
Answer: 20
method: Divide the 5 wholes into 1/4 pieces, so there are 20 total pieces
Three friends equally share 1/4 slab of modeling clay. How much clay does each friend get?
answer: 1/12 slab of clay
method: 1/4 divided by 3
You cannot divide people, the 3 friends are equally sharing the 1/4 slab of clay
Multiply fractions:
2 1/3 x 6 2/4
answer: 12+4/4+6/3+2/12 or 15 2/12 or 182/12
method: use the distributive property or turn the mixed numbers into an improper fraction
Multiply:
10/12 x 2/5
answer: 20/60
method: multiply the numerators and multiply the denominators
Draw a diagram for 8 divided by 1/4
answer:
1/5 divided by 4
answer: 1/20
method: divide the whole into fifths, divide 1/5 into 4 equal pieces and 1 part is 1/20 of the whole.
There are 27 students in Chess Club. Of the 27 students, 2/9 of them wear glasses. How many students wear glasses?
answer: 54/9 or 6 students
method: 27 x 2/9
2/9 of the students wear glasses, there are 27 students, so 2/9 of 27
Multiply fractions:
2/3 x 4
ANSWER:
8/3 or 2 2/3
Method: Multiply the numerator by the whole number. The denominator stays the same.
Multiply:
3/11 x 6/12
answer: 18/132
method: multiply the numerators and multiply the denominators
Match each expression to the diagram that represents it
4 divided by 1/4
1/3 divided by 4
1/2 divided by 2
2 divided by 1/2
1/4 divided by 5
answer:
A = 1/2 divided by 2
B = 1/3 divided by 4
C = 1/4 divided by 5
1/9 divided by 14
answer: 1/126
method: divide the whole into ninths and divide 1/9 into 14 equal pieces and 1 piece is 1/126 of the whole.
A container has 4 cups of sanitizer. Each pocket-size bottle of sanitizer contains 1/2 cup of sanitizer. How many pocket-size bottles can be filled from the container?
answer: 8 bottles
method: 4 divided by 1/2 because we want to know how many 1/2 cups can fit in 4 cups.
Multiply fractions:
10 2/9 x 8 3/5
answer: 86+16/9+6/45 or 3,956/45
method: use the distributive property or turn the mixed number into an improper fraction
Multiply:
8/9 x 7/8
answer: 56/72
method: multiply the numerators and multiply the denominators
Select 3 statements that are true
answer: a, d, e