23/127 added to 162/4 in Fraction Form

The result of 23/127 added to 162/4 is: 40 173/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23127 and 1624.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23127 to 92508
Convert 1624 to 20574508

Step 4: Add the Numerators

Add the numerators: 92 + 20574 = 20666

Step 5: Simplify the Fraction

We can simplify 20666508 to its lowest form.
The greatest common divisor (GCD) of 20666 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 10333254.

Step 6: Convert to Mixed Number

The fraction 10333254 can be written as the mixed number 40173254.

Final Answer

The result of 23/127 added to 162/4 is:

23127+1624=40173254

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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