19/153 added to 22/4 in Fraction Form

The result of 19/153 added to 22/4 is: 5 191/306

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19153 and 224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 153 and 4 is 612.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19153 to 76612
Convert 224 to 3366612

Step 4: Add the Numerators

Add the numerators: 76 + 3366 = 3442

Step 5: Simplify the Fraction

We can simplify 3442612 to its lowest form.
The greatest common divisor (GCD) of 3442 and 612 is 2.
Dividing both numerator and denominator by the GCD, we get 1721306.

Step 6: Convert to Mixed Number

The fraction 1721306 can be written as the mixed number 5191306.

Final Answer

The result of 19/153 added to 22/4 is:

19153+224=5191306

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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