Converting Lengths and Fractions

The video tutorial explains how to calculate the total length of cables in feet. It starts by introducing the problem of converting different cable lengths from inches and feet to a total length in feet. The tutorial then demonstrates the conversion of 23 inches and 49 inches to feet using mathematical operations. It also shows how to express 8 feet as an improper fraction. Finally, the video adds all the converted lengths to find the total cable length, which is 14 feet.

What is the first step in solving the problem of finding the total cable length in feet?

• Add all the lengths directly.

• Multiply all lengths by 12.

• Convert all lengths to inches.

• Convert all lengths to feet.

How many inches are there in a foot?

• 20 inches

• 10 inches

• 15 inches

• 12 inches

What is the result of converting 23 inches to feet?

• 1 foot

• 1 11/12 feet

• 23/12 feet

• 2 feet

Why is it easier to work with improper fractions rather than mixed numbers in this problem?

• Improper fractions are larger.

• Improper fractions are easier to add.

• Improper fractions are smaller.

• Mixed numbers are more complex.

What mathematical operation is used to convert inches to feet?

• Division

• Addition

• Subtraction

• Multiplication

What is the result of converting 49 inches to feet?

• 3 1/12 feet

• 5 feet

• 49/12 feet

• 4 feet

What is the equivalent of 8 feet in terms of a fraction with a denominator of 12?

• 8/12

• 96/12

• 12/8

• 48/12

What is the purpose of converting all lengths to a common denominator before adding?

• To simplify the addition process.

• To make the numbers larger.

• To make the numbers smaller.

• To convert them back to inches.

What is the sum of 96/12, 23/12, and 49/12?

• 12/12

• 96/12

• 14/12

• 168/12

What is the total length of cable in feet after adding all converted lengths?

• 12 feet

• 14 feet

• 16 feet

• 18 feet