146/59 added to 81/3 in Fraction Form

The result of 146/59 added to 81/3 is: 29 28/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14659 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 59 and 3 is 177.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14659 to 438177
Convert 813 to 4779177

Step 4: Add the Numerators

Add the numerators: 438 + 4779 = 5217

Step 5: Simplify the Fraction

We can simplify 5217177 to its lowest form.
The greatest common divisor (GCD) of 5217 and 177 is 3.
Dividing both numerator and denominator by the GCD, we get 173959.

Step 6: Convert to Mixed Number

The fraction 173959 can be written as the mixed number 292859.

Final Answer

The result of 146/59 added to 81/3 is:

14659+813=292859

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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