202/78 added to 34/3 in Fraction Form

The result of 202/78 added to 34/3 is: 13 12/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20278 and 343.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 78 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20278 to 20278
Convert 343 to 88478

Step 4: Add the Numerators

Add the numerators: 202 + 884 = 1086

Step 5: Simplify the Fraction

We can simplify 108678 to its lowest form.
The greatest common divisor (GCD) of 1086 and 78 is 6.
Dividing both numerator and denominator by the GCD, we get 18113.

Step 6: Convert to Mixed Number

The fraction 18113 can be written as the mixed number 131213.

Final Answer

The result of 202/78 added to 34/3 is:

20278+343=131213

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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