67/74 added to 180/3 in Fraction Form

The result of 67/74 added to 180/3 is: 60 67/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6774 and 1803.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6774 to 201222
Convert 1803 to 13320222

Step 4: Add the Numerators

Add the numerators: 201 + 13320 = 13521

Step 5: Simplify the Fraction

We can simplify 13521222 to its lowest form.
The greatest common divisor (GCD) of 13521 and 222 is 3.
Dividing both numerator and denominator by the GCD, we get 450774.

Step 6: Convert to Mixed Number

The fraction 450774 can be written as the mixed number 606774.

Final Answer

The result of 67/74 added to 180/3 is:

6774+1803=606774

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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