176/13 added to 72/3 in Fraction Form

The result of 176/13 added to 72/3 is: 37 7/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17613 and 723.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 3 is 39.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17613 to 52839
Convert 723 to 93639

Step 4: Add the Numerators

Add the numerators: 528 + 936 = 1464

Step 5: Simplify the Fraction

We can simplify 146439 to its lowest form.
The greatest common divisor (GCD) of 1464 and 39 is 3.
Dividing both numerator and denominator by the GCD, we get 48813.

Step 6: Convert to Mixed Number

The fraction 48813 can be written as the mixed number 37713.

Final Answer

The result of 176/13 added to 72/3 is:

17613+723=37713

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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