20/113 added to 154/4 in Fraction Form

The result of 20/113 added to 154/4 is: 38 153/226

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20113 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 113 and 4 is 452.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20113 to 80452
Convert 1544 to 17402452

Step 4: Add the Numerators

Add the numerators: 80 + 17402 = 17482

Step 5: Simplify the Fraction

We can simplify 17482452 to its lowest form.
The greatest common divisor (GCD) of 17482 and 452 is 2.
Dividing both numerator and denominator by the GCD, we get 8741226.

Step 6: Convert to Mixed Number

The fraction 8741226 can be written as the mixed number 38153226.

Final Answer

The result of 20/113 added to 154/4 is:

20113+1544=38153226

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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