31/113 added to 16/4 in Fraction Form

The result of 31/113 added to 16/4 is: 4 31/113

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 31113 and 164.

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 31113 to 124452
Convert 164 to 1808452

Step 4: Add the Numerators

Add the numerators: 124 + 1808 = 1932

Step 5: Simplify the Fraction

We can simplify 1932452 to its lowest form.
The greatest common divisor (GCD) of 1932 and 452 is 4.
Dividing both numerator and denominator by the GCD, we get 483113.

Step 6: Convert to Mixed Number

The fraction 483113 can be written as the mixed number 431113.

Final Answer

The result of 31/113 added to 16/4 is:

31113+164=431113

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).

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