82/176 added to 69/4 in Fraction Form

The result of 82/176 added to 69/4 is: 17 63/88

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82176 and 694.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 176 and 4 is 176.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82176 to 82176
Convert 694 to 3036176

Step 4: Add the Numerators

Add the numerators: 82 + 3036 = 3118

Step 5: Simplify the Fraction

We can simplify 3118176 to its lowest form.
The greatest common divisor (GCD) of 3118 and 176 is 2.
Dividing both numerator and denominator by the GCD, we get 155988.

Step 6: Convert to Mixed Number

The fraction 155988 can be written as the mixed number 176388.

Final Answer

The result of 82/176 added to 69/4 is:

82176+694=176388

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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