23/14 added to 22/4 in Fraction Form

The result of 23/14 added to 22/4 is: 7 1/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2314 and 224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 14 and 4 is 28.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2314 to 4628
Convert 224 to 15428

Step 4: Add the Numerators

Add the numerators: 46 + 154 = 200

Step 5: Simplify the Fraction

We can simplify 20028 to its lowest form.
The greatest common divisor (GCD) of 200 and 28 is 4.
Dividing both numerator and denominator by the GCD, we get 507.

Step 6: Convert to Mixed Number

The fraction 507 can be written as the mixed number 717.

Final Answer

The result of 23/14 added to 22/4 is:

2314+224=717

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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