## 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.