78/202 added to 4/4 in Fraction Form

The result of 78/202 added to 4/4 is: 1 39/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78202 and 44.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 202 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78202 to 156404
Convert 44 to 404404

Step 4: Add the Numerators

Add the numerators: 156 + 404 = 560

Step 5: Simplify the Fraction

We can simplify 560404 to its lowest form.
The greatest common divisor (GCD) of 560 and 404 is 4.
Dividing both numerator and denominator by the GCD, we get 140101.

Step 6: Convert to Mixed Number

The fraction 140101 can be written as the mixed number 139101.

Final Answer

The result of 78/202 added to 4/4 is:

78202+44=139101

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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