69/177 added to 40/2 in Fraction Form

The result of 69/177 added to 40/2 is: 20 23/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69177 and 402.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 2 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69177 to 138354
Convert 402 to 7080354

Step 4: Add the Numerators

Add the numerators: 138 + 7080 = 7218

Step 5: Simplify the Fraction

We can simplify 7218354 to its lowest form.
The greatest common divisor (GCD) of 7218 and 354 is 6.
Dividing both numerator and denominator by the GCD, we get 120359.

Step 6: Convert to Mixed Number

The fraction 120359 can be written as the mixed number 202359.

Final Answer

The result of 69/177 added to 40/2 is:

69177+402=202359

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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