26/83 added to 30/4 in Fraction Form

The result of 26/83 added to 30/4 is: 7 135/166

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2683 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 83 and 4 is 332.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2683 to 104332
Convert 304 to 2490332

Step 4: Add the Numerators

Add the numerators: 104 + 2490 = 2594

Step 5: Simplify the Fraction

We can simplify 2594332 to its lowest form.
The greatest common divisor (GCD) of 2594 and 332 is 2.
Dividing both numerator and denominator by the GCD, we get 1297166.

Step 6: Convert to Mixed Number

The fraction 1297166 can be written as the mixed number 7135166.

Final Answer

The result of 26/83 added to 30/4 is:

2683+304=7135166

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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