10/117 added to 4/6 in Fraction Form

The result of 10/117 added to 4/6 is: 88/117

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10117 and 46.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 117 and 6 is 234.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10117 to 20234
Convert 46 to 156234

Step 4: Add the Numerators

Add the numerators: 20 + 156 = 176

Step 5: Simplify the Fraction

We can simplify 176234 to its lowest form.
The greatest common divisor (GCD) of 176 and 234 is 2.
Dividing both numerator and denominator by the GCD, we get 88117.

Final Answer

The result of 10/117 added to 4/6 is:

10117+46=88117

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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