67/123 added to 92/4 in Fraction Form

The result of 67/123 added to 92/4 is: 23 67/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67123 and 924.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 123 and 4 is 492.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67123 to 268492
Convert 924 to 11316492

Step 4: Add the Numerators

Add the numerators: 268 + 11316 = 11584

Step 5: Simplify the Fraction

We can simplify 11584492 to its lowest form.
The greatest common divisor (GCD) of 11584 and 492 is 4.
Dividing both numerator and denominator by the GCD, we get 2896123.

Step 6: Convert to Mixed Number

The fraction 2896123 can be written as the mixed number 2367123.

Final Answer

The result of 67/123 added to 92/4 is:

67123+924=2367123

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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