10/113 added to 118/4 in Fraction Form

The result of 10/113 added to 118/4 is: 29 133/226

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10113 and 1184.

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 10113 to 40452
Convert 1184 to 13334452

Step 4: Add the Numerators

Add the numerators: 40 + 13334 = 13374

Step 5: Simplify the Fraction

We can simplify 13374452 to its lowest form.
The greatest common divisor (GCD) of 13374 and 452 is 2.
Dividing both numerator and denominator by the GCD, we get 6687226.

Step 6: Convert to Mixed Number

The fraction 6687226 can be written as the mixed number 29133226.

Final Answer

The result of 10/113 added to 118/4 is:

10113+1184=29133226

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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