7/235 added to 26/4 in Fraction Form

The result of 7/235 added to 26/4 is: 6 249/470

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7235 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 235 and 4 is 940.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7235 to 28940
Convert 264 to 6110940

Step 4: Add the Numerators

Add the numerators: 28 + 6110 = 6138

Step 5: Simplify the Fraction

We can simplify 6138940 to its lowest form.
The greatest common divisor (GCD) of 6138 and 940 is 2.
Dividing both numerator and denominator by the GCD, we get 3069470.

Step 6: Convert to Mixed Number

The fraction 3069470 can be written as the mixed number 6249470.

Final Answer

The result of 7/235 added to 26/4 is:

7235+264=6249470

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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