Go Math! Practice Fluency Workbook Grade 6 California 1st Edition, Chapter 7 Representing Ratios and Rates
Question. Use a conversion factor 40yd to convert yards to meters.
Given: 40yd
Find: we need to convert it to meters.
We will use a conversion factor to convert yards to meters
Given 40yd
1yd=0.91m
conversion factor=0.91
We will multiply it by a conversion factor
40yd=40×0.91
=36.4m
40 yards is equal to 36.4m
Go Math Grade 6 Exercise 7.4: Applying Ratios and Rates
Question. Use a conversion factor 5 ounces convert ounces to millimeters.
Given: 5 ounces
Find: we need to convert it to milliliters.
We will use a conversion factor to convert ounces to milliliters
Given 5 ounces
1ounce=29.57ml
conversion factor=29.57
We will multiply it by a conversion factor
5ounces=5×29.57
=147.85ml
5 fluid ounces of water is equal to 147.85ml of water.
Question. Use the conversion factor 52 pounds to convert pounds to kilograms.
Given: 52pounds
Find: we need to convert it to kilograms.
We will use the conversion factor to convert pounds to kilograms.
Given 52pounds
1pound=0.45kg
conversion factor=0.45
We will multiply it by a conversion factor
52pounds=52×0.45
=23.4kg
52 pounds of potatoes is equal to 23.4kg of potatoes.
Go Math Grade 6 Exercise 7.4
Question. Use a conversion factor 7km to convert the kilometer to the mile.
Given: 7km
Find: we need to convert it to miles.
We will use a conversion factor to convert the kilometer to the mile.
Given 7km
1km=1.6mile
conversion factor=1.6
We will divide it by the conversion factor
7km=7/1.6
7km=4.375mile
7km distance is equal to 4.375 miles.
Question. Mia’s cat weighs 13 pounds, 7 ounces and find that weight in kilograms.
Given: Mia’s cat weighs 13 pounds, 7 ounces
To Find: What is that weight in kilograms
The weight of the cat is 13 pounds 7 ounces.
13 pound=13×0.4535
= 5.895kg
7 ounce=7×0.0283
= 0.1981kg
13 pounds 7 ounces is 5.895+0.1981
= 6.0931kg
Mia’s cat weighs 13 pounds, 7 ounces. and the same weight in kilograms is about 6.0931kg.
Go Math Grade 6 Exercise 7.4
Question. The quilt is 2.44 meters long and 1.83 meters wide. Find the area of the quilt in square feet.
Given: The quilt is 2.44 meters long and 1.83 meters wide.
To Find: Area of the quilt in square feet.
Length2.44m in the foot will be,
=2.44×3.2804
=8.0052ft
Width 1.83m in the foot will be,
=1.83×3.2804
=6.0039ft
Area=8.0052×6.0039
=48.0624sqft
D’Quan’s grandmother made a quilt for his bed. The quilt is 2.44 meters long and 1.83 meters wide. The area of the quilt in square feet is about480624sqft or 480624ft²
Question. Every day an adult should consume 64 fluid ounces. Josey had already consumed 700 milliliters of water. How may more liters should he drink today?
Given: Every day an adult should consume 64 fluid ounces.
Josey has already consumed 700 milliliters of water
To Find: How many more liters should he drink today?
We know that 1 fluid ounce is near to about29.6ml
Now converting 64 fluid ounces to milliliters,
64×29.6=1894.4ml
Josey consumes 700ml,
The difference is about 1894.4−700=1194.4ml
To Converting into liters divide ml by1000,
1194.4/1000
=1.1944l
An adult drinks 64 fluid ounces of water every day. Josey has already consumed 700 milliliters of water. 1.1944 liters he should drink today.
Question. Read the table and convert from feet to meters.
Given: Conversion factor chart
To Find: Convert from feet to meters.
In order to convert feet to meters we have to multiply feet by 0.305 meters.
To convert from feet to meters, multiply by 0.305m.
Question. Read the table to convert from quarts to liters.
Given: Conversion Chart
To Find: To convert from quarts to liters.
In order to convert quarts to liters we have to multiply quarts by 0.946liter.
To convert from quarts to liters, multiply by 0.946 liters.
Go Math Grade 6 Exercise 7.4
Question. Read the table to convert from pounds to kilograms.
Given: Conversion Chart
To Find: To convert from pounds to kilograms.
In order to convert pounds to kilograms, we have to multiply pounds by 0.454 kilograms.
To convert from pounds to kilograms, multiply by 0.454 kilograms.
Question. Read the table and convert from gallons to liters.
Given: Conversion Chart
To Find: To convert from gallons to liters.
In order to convert gallons to liters, we have to multiply gallons by 3.79 liters.
To convert from pounds to kilograms, multiply by 3.79l.
Question. Read the table and find the 9 yards ≈ ________ meters.
Given: Conversion factor
To Find: 9 yards ≈ ——— meters.
From the chart, we can see that,
1 yard≈ 0.914 meter
9 yard≈ 9×0.914
9 yards≈ 8.226 meters.
Therefore, 9 yards ≈ 8.226 meters.
Go Math Grade 6 Exercise 7.4
Question. Read the table and find the 4 ounces ≈ _______ grams.
Given: Conversion factor
To Find: 4 ounces ≈ _______grams
From the chart, we can see that,
1 ounce ≈ 28.4grams
4 ounces ≈ 4×28.4
4 ounces≈ 113.6 grams
We concluded that 4 ounces ≈ 113.6gm.
Question. Read the table and find the 12 fluid ounces ≈ _______ milliliters.
Given: Conversion factor table
To Find: 12 fluid ounces ≈ milliliters.
From the chart, we can see that,
1 fluid ounce ≈ 29.6 milliliters
12 fluid ounces ≈ 12×29.6
12 fluid ounces ≈ 355.6 milliliters
We concluded that 12 fluid ounces ≈ 355.6ml.
Question. Read the table and find the 3 miles ≈ _____kilometers
Given: Convertor factor table
To Find: 3 miles ≈ ____ kilometers.
From the chart, we can see that,
1 mile ≈ 1.61 km
3 miles ≈ 3×1.61
3 miles ≈ 4.83km
We concluded that 3 miles ≈ 4.83km.
Go Math Grade 6 Exercise 7.4
Question. Read the table and find the 24 pounds ≈ _______ kilograms.
Given: Conversion factor table
To Find: 24 pounds ≈ _______kilograms.
From the chart, we can see that,
1 pound ≈ 0.454 kilogram
24 pound ≈ 24×0.454
24 pounds ≈ 10.89 kg
We concluded that 24 pounds ≈ 10.89kg.
Question. Read the table and find the 7 gallons ≈ _______ liters.
Given: Conversion factor table
To Find: 7 gallons ≈ ____ liters.
From the conversion table,
1 gallon ≈ 3.79l
7 gallons ≈ 7×3.79
7 gallons ≈ 26.53l
We concluded that 7 gallons ≈ 26.531.