Question

Convert the following customary units. 152 inches to feet.

Short answer

152 inches is equal to 12.6667 feet.

Step-by-step solution

Understand the Conversion Ratio

To convert inches to feet, you need to know the conversion ratio. 1 foot equals 12 inches.

Set Up the Conversion Equation

To convert inches to feet, divide the number of inches by 12.

Perform the Division

Divide 152 inches by 12 to find out how many feet that is.

Calculate the Result

When you perform the division, you get 152 inches \( \div \) 12 inches/foot = 12.6667 feet.

Key concepts

Customary Units Conversion

When working with customary units, it's important to understand that different units are used to measure length, capacity, and weight, and each has its specific conversion ratios. The most common length measurements in the customary system are inches, feet, yards, and miles. To confidently convert between these units, you need to memorize or be able to reference their conversion equivalents, such as 12 inches in a foot, 3 feet in a yard, and 5280 feet in a mile.

To perform a customary unit conversion, begin by identifying the correct conversion ratio, then multiply or divide as needed. For example, if you are converting from a larger unit to a smaller unit, like feet to inches, you would multiply by the conversion ratio. Conversely, when converting from a smaller unit to a larger one, like inches to feet, you would divide by the conversion ratio.

Inches to Feet Conversion

Inches to feet conversion is a frequent necessity in various fields, whether it's for a school project, construction, or even sewing. To carry out this conversion, keep in mind that one foot is comprised of 12 inches. This is the foundation of converting inches to feet.

The method is straightforward: take the number of inches you have and divide it by 12 to convert it into feet. If, for example, you have 152 inches, as highlighted in the exercise example, dividing 152 by 12 will yield 12.6667 feet. When performing conversions, it can also be helpful to understand decimals and fractions to express your answer in the most appropriate form for your needs, whether that be precise measurements in decimal or a more practical fraction in everyday usage.

Mathematical Computation

Mathematical computation encompasses a variety of operations including addition, subtraction, multiplication, and division. These are the building blocks for more complex mathematical tasks. In the context of unit conversion, division is a key operation used when converting smaller units to larger ones.

When dividing, such as in the step-by-step solution we have for converting inches to feet, ensuring the accuracy and understanding decimal places are crucial. The quotient of 152 inches divided by 12 (the number of inches in a foot) is 12.6667, which can be rounded to 12.67 for simplicity. This process of mathematical computation is fundamental in unit conversions and applies to a wide range of mathematical problems.