31/177 added to 109/4 in Fraction Form

The result of 31/177 added to 109/4 is: 27 301/708

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 31177 and 1094.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 4 is 708.

Step 3: Convert Fractions to Equivalent Fractions

Convert 31177 to 124708
Convert 1094 to 19293708

Step 4: Add the Numerators

Add the numerators: 124 + 19293 = 19417

Step 5: Convert to Mixed Number

The fraction 19417708 can be written as the mixed number 27301708.

Final Answer

The result of 31/177 added to 109/4 is:

31177+1094=27301708

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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