120/153 added to 26/3 in Fraction Form

The result of 120/153 added to 26/3 is: 9 23/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 120153 and 263.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 153 and 3 is 153.

Step 3: Convert Fractions to Equivalent Fractions

Convert 120153 to 120153
Convert 263 to 1326153

Step 4: Add the Numerators

Add the numerators: 120 + 1326 = 1446

Step 5: Simplify the Fraction

We can simplify 1446153 to its lowest form.
The greatest common divisor (GCD) of 1446 and 153 is 3.
Dividing both numerator and denominator by the GCD, we get 48251.

Step 6: Convert to Mixed Number

The fraction 48251 can be written as the mixed number 92351.

Final Answer

The result of 120/153 added to 26/3 is:

120153+263=92351

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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