Converting Decimals to Fractions (using multiplication by 16)

What happens here

The instructor demonstrates a practical method for converting decimals back to fractions, specifically useful when working with imperial measurements often in sixteenths of an inch. He starts with 0.125. To convert it to a fraction with a denominator of 16, he multiplies 0.125 by 16, which equals 2. This '2' becomes the numerator over 16 (2/16), which simplifies to 1/8. He repeats this process with 0.25 (1/4), multiplying by 16 to get 4 (4/16, simplifies to 1/4). Finally, for 0.75 (3/4), multiplying by 16 yields 12 (12/16, simplifies to 3/4). This method allows for quick conversion of decimal measurements to their fractional counterparts used on a tape measure.

Goal: Perform decimal to fraction conversions using a common denominator (16ths).