Common Denominator
Rewrite with a common denominator and solve.
1/2 + 1/3 =
3/6 + 2/6 = 5/6
Shawn made a mix of lettuce seeds to plant. The mix has 1/2 a cup of green leaf seeds, 2 2/3 cup red leaf seeds, and 1 1/4 bronze leaf seeds. How many cups of leaf seeds does Shawn have to plant?
4 5/12 cups
two or more different fractions that represent the same quantity
Equivalent fractions
1 5/6 + ____ = 2
1/6
Carmen ran 1 3/8 miles yesterday. Her sister Lola ran 2 1/4 miles. How much farther did Lola run than Carmen?
7/8 mile
Rewrite with a common denominator and solve:
1/6 + 2 1/4 =
2/12 + 2 3/12 = 2 5/12
Erin went outside to exercise. She walked for 1/12 of an hour, jogged for 2/3 of an hour, and then walked again for 1/6 of an hour. How many MINUTES did she exercise in all? AND, what fraction of an hour is that?
55 minutes
55/60 or 11/12
the result of multiplying two or more numbers; in the array model, the product is the area of the array
Product or array
____ + 5/8 = 3/4
1/8
Rory spent 1 1/6 of an hour swimming and then 3/4 of an hour playing basketball. What fraction of an hour did Rory spend doing both sports, combined?
1 22/24 or 1 11/12 or 1 hour and 55 minutes
Rewrite with a common denominator and solve:
5/6 - 1/3 =
5/6 - 2/6 = 3/6 or 1/2
Emma worked out by walking and running on a park trail. She walked 2/6 of the trail and then ran 1/4 of the trail.
How much of the trail had she covered?
Did Andrea walk farther or run farther?
1. 7/12 of the trail
2. Walked
a whole number that divides evenly into another number
Factor
3 1/4 - _____ = 1
2 1/4
Lisa spent 3/4 of an hour doing chores on Friday, and her sister Eva spent 1/3 of an hour doing chores. How much more time (as a fraction of an hour) did Lisa spend on chores than Eva?
Pick one AND solve:
More than 1 hour
Between ½ and 1 hour
Less than ½
Less than 1/2
5/12 of an hour
Rewrite with a common denominator and solve:
1 ⅖ - 6/10 =
1 4/10 - 6/10 = 8/10
Cooper's jump rope is 4 2/5 feet long. Luke's jump rope 4 3/4 feet long. Whose jump rope is longer and by exactly how much?
Luke’s is longer.
1 ¾ inch longer (7/20 of a foot)
the bottom number in a fraction, which shows into how many equal parts the whole is divided; also the divisor
denominator
Mrs. Jayne drove ¾ of a 40 km trip before she stopped to get a snack. How many kilometers had Mrs. Jayne driven at that point? Show your work using words, numbers, or labeled sketches.
30 km
Last Saturday, Michael spent 2/6 of an hour cleaning the hamster cage, 3/12 of an hour walking the dog around the block, and 5/60 of an hour feeding the bird. What part of an hour did Michael spend taking care of his pets?
40/60 or 4/6 or ⅔ or 40 minutes
Rewrite with a common denominator and solve:
3 4/15 + 2 1/3 =
3 4/15 + 2 5/15 = 5 9/15 or 5 3/5
Yesterday Carson recycled 1 1/3 pounds of paper packaging. He also recycled 3/4 of a pound of plastic packaging. Combined, how many pounds of packaging did Carson recycle yesterday?
2 1/12 pounds of recycling.
a model that represents equivalent ratios; can be used as a tool to solve problems that involve multiplication, division, fractions, and proportions
ratio table
1/3 of 27
9
Which is the better buy?
5 cans for $6 or 8 cans for $10?
5 cans for $6 is also 40 cans for $48, and 8 cans for $10 is also 40 cans for $50.
⅚ = 40/$48 and 8/10 = 40/$50
Or $6/5 = $48/40 and $10/8 = $50/40
So 5 cans for $6 is cheaper.