153/26 added to 135/3 in Fraction Form

The result of 153/26 added to 135/3 is: 50 23/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15326 and 1353.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15326 to 45978
Convert 1353 to 351078

Step 4: Add the Numerators

Add the numerators: 459 + 3510 = 3969

Step 5: Simplify the Fraction

We can simplify 396978 to its lowest form.
The greatest common divisor (GCD) of 3969 and 78 is 3.
Dividing both numerator and denominator by the GCD, we get 132326.

Step 6: Convert to Mixed Number

The fraction 132326 can be written as the mixed number 502326.

Final Answer

The result of 153/26 added to 135/3 is:

15326+1353=502326

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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