69/92 added to 128/3 in Fraction Form

The result of 69/92 added to 128/3 is: 43 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6992 and 1283.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 92 and 3 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6992 to 207276
Convert 1283 to 11776276

Step 4: Add the Numerators

Add the numerators: 207 + 11776 = 11983

Step 5: Simplify the Fraction

We can simplify 11983276 to its lowest form.
The greatest common divisor (GCD) of 11983 and 276 is 23.
Dividing both numerator and denominator by the GCD, we get 52112.

Step 6: Convert to Mixed Number

The fraction 52112 can be written as the mixed number 43512.

Final Answer

The result of 69/92 added to 128/3 is:

6992+1283=43512

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).

Fraction Calculator

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