117/53 added to 16/2 in Fraction Form

The result of 117/53 added to 16/2 is: 10 11/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11753 and 162.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 2 is 106.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11753 to 234106
Convert 162 to 848106

Step 4: Add the Numerators

Add the numerators: 234 + 848 = 1082

Step 5: Simplify the Fraction

We can simplify 1082106 to its lowest form.
The greatest common divisor (GCD) of 1082 and 106 is 2.
Dividing both numerator and denominator by the GCD, we get 54153.

Step 6: Convert to Mixed Number

The fraction 54153 can be written as the mixed number 101153.

Final Answer

The result of 117/53 added to 16/2 is:

11753+162=101153

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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