177/73 added to 48/4 in Fraction Form

The result of 177/73 added to 48/4 is: 14 31/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17773 and 484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 4 is 292.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17773 to 708292
Convert 484 to 3504292

Step 4: Add the Numerators

Add the numerators: 708 + 3504 = 4212

Step 5: Simplify the Fraction

We can simplify 4212292 to its lowest form.
The greatest common divisor (GCD) of 4212 and 292 is 4.
Dividing both numerator and denominator by the GCD, we get 105373.

Step 6: Convert to Mixed Number

The fraction 105373 can be written as the mixed number 143173.

Final Answer

The result of 177/73 added to 48/4 is:

17773+484=143173

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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