176/53 added to 6/3 in Fraction Form

The result of 176/53 added to 6/3 is: 5 17/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17653 and 63.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 3 is 159.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17653 to 528159
Convert 63 to 318159

Step 4: Add the Numerators

Add the numerators: 528 + 318 = 846

Step 5: Simplify the Fraction

We can simplify 846159 to its lowest form.
The greatest common divisor (GCD) of 846 and 159 is 3.
Dividing both numerator and denominator by the GCD, we get 28253.

Step 6: Convert to Mixed Number

The fraction 28253 can be written as the mixed number 51753.

Final Answer

The result of 176/53 added to 6/3 is:

17653+63=51753

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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