38/166 added to 127/3 in Fraction Form

The result of 38/166 added to 127/3 is: 42 140/249

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38166 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 166 and 3 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38166 to 114498
Convert 1273 to 21082498

Step 4: Add the Numerators

Add the numerators: 114 + 21082 = 21196

Step 5: Simplify the Fraction

We can simplify 21196498 to its lowest form.
The greatest common divisor (GCD) of 21196 and 498 is 2.
Dividing both numerator and denominator by the GCD, we get 10598249.

Step 6: Convert to Mixed Number

The fraction 10598249 can be written as the mixed number 42140249.

Final Answer

The result of 38/166 added to 127/3 is:

38166+1273=42140249

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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