204/7 added to 92/2 in Fraction Form

The result of 204/7 added to 92/2 is: 75 1/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2047 and 922.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2047 to 40814
Convert 922 to 64414

Step 4: Add the Numerators

Add the numerators: 408 + 644 = 1052

Step 5: Simplify the Fraction

We can simplify 105214 to its lowest form.
The greatest common divisor (GCD) of 1052 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 5267.

Step 6: Convert to Mixed Number

The fraction 5267 can be written as the mixed number 7517.

Final Answer

The result of 204/7 added to 92/2 is:

2047+922=7517

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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