22/149 added to 154/4 in Fraction Form

The result of 22/149 added to 154/4 is: 38 193/298

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22149 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 4 is 596.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22149 to 88596
Convert 1544 to 22946596

Step 4: Add the Numerators

Add the numerators: 88 + 22946 = 23034

Step 5: Simplify the Fraction

We can simplify 23034596 to its lowest form.
The greatest common divisor (GCD) of 23034 and 596 is 2.
Dividing both numerator and denominator by the GCD, we get 11517298.

Step 6: Convert to Mixed Number

The fraction 11517298 can be written as the mixed number 38193298.

Final Answer

The result of 22/149 added to 154/4 is:

22149+1544=38193298

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).

Fraction Calculator

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