78/173 added to 4/4 in Fraction Form

The result of 78/173 added to 4/4 is: 1 78/173

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78173 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 173 and 4 is 692.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78173 to 312692
Convert 44 to 692692

Step 4: Add the Numerators

Add the numerators: 312 + 692 = 1004

Step 5: Simplify the Fraction

We can simplify 1004692 to its lowest form.
The greatest common divisor (GCD) of 1004 and 692 is 4.
Dividing both numerator and denominator by the GCD, we get 251173.

Step 6: Convert to Mixed Number

The fraction 251173 can be written as the mixed number 178173.

Final Answer

The result of 78/173 added to 4/4 is:

78173+44=178173

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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