177/73 added to 48/3 in Fraction Form

The result of 177/73 added to 48/3 is: 18 31/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17773 and 483.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 3 is 219.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17773 to 531219
Convert 483 to 3504219

Step 4: Add the Numerators

Add the numerators: 531 + 3504 = 4035

Step 5: Simplify the Fraction

We can simplify 4035219 to its lowest form.
The greatest common divisor (GCD) of 4035 and 219 is 3.
Dividing both numerator and denominator by the GCD, we get 134573.

Step 6: Convert to Mixed Number

The fraction 134573 can be written as the mixed number 183173.

Final Answer

The result of 177/73 added to 48/3 is:

17773+483=183173

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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