Converting Fractions to Whole Numbers

Study Notes

Converting Fractions to Whole Numbers

To convert fractions to whole numbers, you can simply multiply the fraction by 1. The result will be the same, but the units will cancel out, leaving you with a whole number. Let's explore this concept using a few examples.

Example 1: Converting 250 gigabytes to bytes

Consider the conversion of 250 gigabytes to bytes. The conversion factor is 1 GB = 1 * 10^9 bytes. The conversion using the factor-label method would be:

250 GB * (1 GB / 1 * 10^9 bytes) = 250 * 1 * 10^9 bytes = 2.5 * 10^11 bytes

In this case, the units cancel out, leaving you with a whole number, 2.5 * 10^11 bytes.

Example 2: Converting 256 centimeters to kilometers

To convert 256 centimeters to kilometers, we can use the metric system's prefixes as conversion factors. 1 cm = 0.01 m and 1 km = 1,000 m. The conversion would be:

256 cm * (1 cm / 0.01 m) * (1 km / 1000 m) = 256 * 100 * 1 = 25,600 km

Again, the units cancel out, leaving you with a whole number, 25,600 km.

Example 3: Converting 9 liters per 100 kilometers to microliters per meter

To convert 9 liters per 100 kilometers to microliters per meter, we can use the conversion factor 1 L = 1,000,000 μL. The conversion would be:

9 L / 100 km * (1 km / 1000 m) * (1,000,000 μL / 1 L) = 9 * 100 * 1 * 1,000,000 = 9,000,000,000 μL

The units cancel out, leaving you with a whole number, 9,000,000,000 μL.

In summary, converting fractions to whole numbers involves multiplying the fraction by 1. This process allows you to cancel out the units, leaving you with a whole number.

Description

Learn how to convert fractions to whole numbers by multiplying the fraction by 1. Explore examples like converting gigabytes to bytes, centimeters to kilometers, and liters per kilometers to microliters per meter. Understand the concept of canceling out units to obtain whole numbers.