178/102 added to 11/3 in Fraction Form

The result of 178/102 added to 11/3 is: 5 7/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 178102 and 113.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 3 is 102.

Step 3: Convert Fractions to Equivalent Fractions

Convert 178102 to 178102
Convert 113 to 374102

Step 4: Add the Numerators

Add the numerators: 178 + 374 = 552

Step 5: Simplify the Fraction

We can simplify 552102 to its lowest form.
The greatest common divisor (GCD) of 552 and 102 is 6.
Dividing both numerator and denominator by the GCD, we get 9217.

Step 6: Convert to Mixed Number

The fraction 9217 can be written as the mixed number 5717.

Final Answer

The result of 178/102 added to 11/3 is:

178102+113=5717

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

Calculate operations between any two fractions: