How do I convert measurement units but in fractions

Mathematics · Middle School · Tue Nov 03 2020

Answered on

To convert measurement units when dealing with fractions, follow these steps:

Step 1: Understand the conversion factor between the units you want to convert. A conversion factor is a ratio that expresses how many of one unit are equal to another unit. For example, 1 foot is equal to 12 inches, so the conversion factor from feet to inches is 12.

Step 2: Write the fraction you want to convert alongside the conversion factor. For instance, if you want to convert 3/4 of a foot to inches, you'd start with the fraction 3/4 and the conversion factor, which is 12 inches = 1 foot.

Step 3: Multiply the fraction by the conversion factor. You can think of this as creating a fraction from the conversion factor as well (e.g., 12 inches/1 foot) and then multiplying it by your fraction. Keep in mind that when multiplying fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together.

Step 4: Simplify the resulting fraction if necessary. If the fraction resulting from the multiplication step can be simplified by dividing the numerator and denominator by a common factor, do so to obtain the simplest form.

Example: Convert 3/4 of a foot to inches using the fact that 1 foot = 12 inches. (3/4 foot) * (12 inches/1 foot) = (3*12)/(4*1) inches = 36/4 inches = 9 inches

So, 3/4 of a foot equals 9 inches.