HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 3 Rational Numbers
HMH Grade 7 Rational Numbers Exercise 3.6 solutions Page 25 Problem 1 Answer
It is given that the measure of each section of fencing is 4×1/3 feet long.
It is required to find the length of 6×1/2 sections placed end to end.
To find the length of 6 x1/2 sections placed end to end, it is necessary to multiply the length of each section to 6×1/2.
Since the length of each section is 4×1/3 feet, hence, the length of 6×1/2 sections placed will be the product of 4×1/3 and 6×1/2.
Compute the product.
4×1/3⋅6×1/2=1×3/3⋅1×3/2
4×1/3⋅6×1/2=13⋅13/3⋅2
4×1/3⋅6×1/2=169/6
4×1/3⋅6×1/2=281/6
Hence, the required measurement is 281/6 feet.
The 6×1/2 sections when placed end to end are 281/6 feet long.
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HMH Middle School Grade 7 Chapter 3 Page 25 Problem 2 Answer
It is given that a rectangle is formed by using two 2×1/2 inch plastics strips and two 5×1/3 inch plastic strips.
It is required to find the perimeter of the rectangle.
To find the perimeter of the rectangle, it is necessary to add all the plastic strips as mentioned.
The perimeter of the rectangle is 152/3 inches.
Practice Fluency Workbook Chapter 3 Exercise 3.6 answers Page 25 Problem 3 Answer
It is given that the average mass of the eggs laid by chickens on Ms. Watson’s farm is 3.5grams.
It is required to find the weight of a dozen eggs.
To find the weight of a dozen eggs, it is necessary to multiply the average mass of eggs to a dozen eggs.
A dozen eggs can be written as 12 eggs.
The mass of a dozen egg is the product of average mass of an egg and 12 eggs.
It implies12⋅3.5.
Compute the value of the product.
12⋅3.5=12⋅31/2
12⋅3.5=12⋅7/2
Expand the term 12 as 2⋅6.
12⋅3.5=2⋅6⋅7/2
12⋅3.5=6⋅7
12⋅3.5=42
Hence, the weight is 42 grams.
The weight or mass of a dozen eggs is 42 grams.
HMH Middle School Grade 7 Chapter 3 Page 25 Problem 4 Answer
It is given that an 8.5cm green pod contains peas that average 0.45cm in diameter.
It is required to find the total numbers of peas are present in the pod.
For that, divide the given length of the pods with given
According to the given information,
The total number of peas will be calculated by dividing the length of the pod by the diameter of each pod.
So, Number of peas =8.5/0.45
Number of peas = 18.888888…
Hence the number of peas ≈19.
The total number of peas is 19.
HMH Middle School Grade 7 Chapter 3 Page 25 Problem 5 Answer
It is given that a dropper produces drops of 1/8mm to fill a 30mm test tube.
It is required to find the total numbers of drops needed to fill the test tube.
For that, divide the given length of the test tube with given millimeter.
The dropper produces drops of 1/8mm to fill a 30mm test tube.
So, 1 drop=1/8mm
Number of drops will be calculated by dividing the total volume to be filled in the test tube by the volume of one drop.
So, Number of drops =30
1/8 Number of drops =30×8
Hence, the number of drops=240
The total numbers of drops needed to fill the test tube is 240.
HMH Middle School Grade 7 Chapter 3 Page 25 Problem 6 Answer
It is given that 3 strips of a 2yard wide outdoor carpet are used to cover a sidewalk.
One is 3.5yard long. Second is 25 percent longer than the first.
The third is 61/4 yard long.
It is required to find length if the three carpets are placed end to end.
For that, find the length of the all three carpets, and then add up the lengths.
As the length of the second carpet is 25 percent longer than the first, it can be written as,
3.5+25
3.5+25
The length of the third strip is 61/4 yard long.
So, 61/4=25/4 yard
61/4=6.25yard
Hence,61/4=6.25yard.
So, the length, if the three carpets placed end to end, is,
3.5+4.375+6.25=14.125yard
The length, if the three carpets are placed end to end is 14.125 yard.
HMH Middle School Grade 7 Chapter 3 Page 26 Problem 7 Answer
It is given that a cup of dog food weighs 14/5 ounces. It is also given that the dog eats 61/3 cups of food a day.
It is required to find the ounces of food the dog eats each day.
For that, convert the given number of cups into ounces.
A cup of dog food weighs 14/5 ounces.
So, it could be written as,
1 cup =14/5 ounces.
Convert 14/5 into an improper fraction.
14/5=9/5
14/5=1.8ounces
Hence, 14/5=1.8ounces.
Similarly,
6×1/3 cups=6×1/3⋅1.8ounces
Convert 61/3 into an improper fraction.
6×1/3=1×9/3⋅1.8
6×1/3=11.39ounces
Hence,6×1/3=11.39ounces.
The dog eats 11.39 ounces of food each day.
7th Grade HMH Rational Numbers Exercise 3.6 Step-By-Step Page 26 Problem 8 Answer
It is given that a painter spends 3 hours working on a painting.
It is also given that a sculptor spends 22/3 times as long on a sculpture.
It is required to find how long does the sculpture work.
Convert 22/3 into an improper fraction.
Then, multiply it with 3 to get the required answer.
In one hour, the sculptor spends 22/3 times longer than a painter.
So, it could be written as,1hour =22/3 times.
Convert 22/3 into an improper fraction.
22/3=8/3
So, for 3 hours,
3 hours= 3⋅8/3
Hence, 3 hours =8.
The sculpture works for 8 hours.
HMH Middle School Grade 7 Chapter 3 Page 26 Problem 9 Answer
It is given that meteorite of United States weighs 7/10 as much as one found in Mongolia which weighs 22ton.
It is required to find the weight of meteorite found in the United States.
For that, multiply the both terms.
The given data can be written as,
Weight of meteorite found in the United States =7/10⋅22
Weight of meteorite found in the United States =0.7⋅22
Hence, the weight of meteorite found in the United States =15.4tons.
The weight of meteorite of United State is 15.4tons.
Rational Numbers Grade 7 Practice Fluency Workbook Help Exercise 3.6 Page 26 Problem 10 Answer
It is given that the chicken salad recipe needs 1/8 pounds of chicken per serving.
It is required to find the pounds of chicken needed to make 8×1/2 servings.
For that, multiply both the terms.
The chicken salad recipe needs 1/8 pound of chicken per serving.
So, it can be written as,
Pounds of chicken needed to make 8×1/2 servings=8×1/2⋅1/8
Pounds of chicken needed to make 8×1/2 servings =17/2⋅1/8
Hence, pounds of chicken needed to make 8×1/2 servings =17/16
To make 81/2 servings of chicken are 17/16 pounds are needed.