addition of fractional numbers, stepwise instruction, adding fractions, arithmetic operation

This article provides a stepwise instruction for adding fractional numbers to ensure a clear understanding of the arithmetic operation.

Adding fractional numbers can sometimes be confusing, but with a stepwise instruction, the process becomes simpler and more manageable. This article aims to guide you through the steps involved in adding fractional numbers.

Step 1: Find a common denominator
The first step in adding fractions is to find a common denominator. This is necessary because fractions can only be added or subtracted when they have a common denominator. To find a common denominator, you need to determine the least common multiple (LCM) of the denominators. Once you have the LCM, you can proceed to the next step.

Step 2: Convert fractions to have the same denominator
In this step, you need to convert the fractions so that they have the same denominator. To do this, multiply each fraction by a value that will make the denominators the same as the LCM determined in step 1. Remember to multiply both the numerator and denominator of each fraction by the same value.

Step 3: Add the numerators
Now that the fractions have the same denominator, you can add their numerators. Simply add the numerators while keeping the denominator unchanged. The result will be a new fraction with the same denominator as the original fractions.

Step 4: Simplify the fraction (if necessary)
If the resulting fraction can be simplified, it is recommended to simplify it. To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator, then divide both the numerator and denominator by the GCD. This will give you the simplified form of the fraction.

Let's apply these steps to the example given in the title: 1/24 plus 1/30.

Step 1: Find a common denominator
The denominators are 24 and 30. The LCM of 24 and 30 is 120. So, the common denominator is 120.

Step 2: Convert fractions
To convert 1/24 to have a denominator of 120, multiply both the numerator and denominator by 5: 1/24 * 5/5 = 5/120.
To convert 1/30 to have a denominator of 120, multiply both the numerator and denominator by 4: 1/30 * 4/4 = 4/120.

Step 3: Add the numerators
Now that both fractions have a common denominator of 120, add the numerators: 5/120 + 4/120 = 9/120.

Step 4: Simplify the fraction
The fraction 9/120 can be simplified by finding the GCD of 9 and 120, which is 3. Divide both the numerator and denominator by 3: 9/120 ¡Â 3/3 = 3/40.

Therefore, 1/24 plus 1/30 equals 3/40.

By following these stepwise instructions, you can confidently add fractional numbers. Remember to find a common denominator, convert the fractions, add the numerators, and simplify the fraction if necessary. With practice, adding fractional numbers will become second nature.