Conversion Word Problems worksheet - Free Printable

Let's solve each problem step by step.

---

Problem 1:

Question: 1 pound = 16 ounces, how many pounds (lbs) are in 450 ounces (oz)?

Solution:
To convert ounces to pounds, we use the conversion factor:
\[ 1 \text{ pound} = 16 \text{ ounces} \]

We need to find how many pounds are in 450 ounces. This can be done by dividing the total number of ounces by the number of ounces per pound:
\[ \text{Pounds} = \frac{\text{Ounces}}{\text{Ounces per pound}} = \frac{450}{16} \]

Perform the division:
\[ \frac{450}{16} = 28.125 \]

So, there are 28.125 pounds in 450 ounces.

Answer: \(\boxed{28.125}\)

---

Problem 2:

Question: It takes Karen 420 minutes to get from her home in Trujillo to her grandma’s house outside of La Ceiba. Express this time in hours. \(1 \text{ hr} = 60 \text{ mins}\).

Solution:
To convert minutes to hours, we use the conversion factor:
\[ 1 \text{ hour} = 60 \text{ minutes} \]

We need to find how many hours are in 420 minutes. This can be done by dividing the total number of minutes by the number of minutes per hour:
\[ \text{Hours} = \frac{\text{Minutes}}{\text{Minutes per hour}} = \frac{420}{60} \]

Perform the division:
\[ \frac{420}{60} = 7 \]

So, 420 minutes is equal to 7 hours.

Answer: \(\boxed{7}\)

---

Problem 3:

Question: Martha’s dad gave her a land lot in Utila as an inheritance. The land is 40 feet long. Express this length in meters. \(1 \text{ ft} = 0.3048 \text{ m}\).

Solution:
To convert feet to meters, we use the conversion factor:
\[ 1 \text{ foot} = 0.3048 \text{ meters} \]

We need to find the length in meters for 40 feet. This can be done by multiplying the number of feet by the conversion factor:
\[ \text{Meters} = \text{Feet} \times \text{Conversion factor} = 40 \times 0.3048 \]

Perform the multiplication:
\[ 40 \times 0.3048 = 12.192 \]

So, 40 feet is equal to 12.192 meters.

Answer: \(\boxed{12.192}\)

---

Problem 4:

Question: A child is prescribed a dosage of 5 mL of a certain drug per day. Her mother is using a syringe labeled in cc’s (cubic centimeters). If \(1 \text{ mL} = 1 \text{ cc}\), how many cc’s are there in 5 mL?

Solution:
The problem states that \(1 \text{ mL} = 1 \text{ cc}\). Therefore, the number of cubic centimeters (cc’s) is equal to the number of milliliters (mL).

Since the dosage is 5 mL, the equivalent in cc’s is:
\[ 5 \text{ mL} = 5 \text{ cc} \]

Answer: \(\boxed{5}\)

---

Problem 5:

Question: Today’s temperature is \(15^\circ \text{C}\). Express this temperature in Fahrenheit. \(F = C \times \left(\frac{9}{5}\right) + 32\).

Solution:
The formula to convert Celsius (\(C\)) to Fahrenheit (\(F\)) is:
\[ F = C \times \left(\frac{9}{5}\right) + 32 \]

Substitute \(C = 15\) into the formula:
\[ F = 15 \times \left(\frac{9}{5}\right) + 32 \]

First, calculate \(15 \times \left(\frac{9}{5}\right)\):
\[ 15 \times \left(\frac{9}{5}\right) = \frac{15 \times 9}{5} = \frac{135}{5} = 27 \]

Now add 32 to the result:
\[ F = 27 + 32 = 59 \]

So, \(15^\circ \text{C}\) is equal to 59°F.

Answer: \(\boxed{59}\)

---

Problem 6:

Question: Julia and her friends are making kites out of paper. For each kite, they need a piece of paper that is 1.2 meters long. Express this measurement in cm. \(1 \text{ m} = 100 \text{ cm}\).

Solution:
To convert meters to centimeters, we use the conversion factor:
\[ 1 \text{ meter} = 100 \text{ centimeters} \]

We need to find the length in centimeters for 1.2 meters. This can be done by multiplying the number of meters by the conversion factor:
\[ \text{Centimeters} = \text{Meters} \times \text{Conversion factor} = 1.2 \times 100 \]

Perform the multiplication:
\[ 1.2 \times 100 = 120 \]

So, 1.2 meters is equal to 120 centimeters.

Answer: \(\boxed{120}\)

---

Final Answers:

1. \(\boxed{28.125}\)
2. \(\boxed{7}\)
3. \(\boxed{12.192}\)
4. \(\boxed{5}\)
5. \(\boxed{59}\)
6. \(\boxed{120}\)