12/176 added to 26/3 in Fraction Form

The result of 12/176 added to 26/3 is: 8 97/132

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12176 and 263.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 176 and 3 is 528.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12176 to 36528
Convert 263 to 4576528

Step 4: Add the Numerators

Add the numerators: 36 + 4576 = 4612

Step 5: Simplify the Fraction

We can simplify 4612528 to its lowest form.
The greatest common divisor (GCD) of 4612 and 528 is 4.
Dividing both numerator and denominator by the GCD, we get 1153132.

Step 6: Convert to Mixed Number

The fraction 1153132 can be written as the mixed number 897132.

Final Answer

The result of 12/176 added to 26/3 is:

12176+263=897132

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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