6/176 added to 127/3 in Fraction Form

The result of 6/176 added to 127/3 is: 42 97/264

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6176 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 176 and 3 is 528.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6176 to 18528
Convert 1273 to 22352528

Step 4: Add the Numerators

Add the numerators: 18 + 22352 = 22370

Step 5: Simplify the Fraction

We can simplify 22370528 to its lowest form.
The greatest common divisor (GCD) of 22370 and 528 is 2.
Dividing both numerator and denominator by the GCD, we get 11185264.

Step 6: Convert to Mixed Number

The fraction 11185264 can be written as the mixed number 4297264.

Final Answer

The result of 6/176 added to 127/3 is:

6176+1273=4297264

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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