67/61 added to 146/2 in Fraction Form

The result of 67/61 added to 146/2 is: 74 6/61

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6761 and 1462.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 61 and 2 is 122.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6761 to 134122
Convert 1462 to 8906122

Step 4: Add the Numerators

Add the numerators: 134 + 8906 = 9040

Step 5: Simplify the Fraction

We can simplify 9040122 to its lowest form.
The greatest common divisor (GCD) of 9040 and 122 is 2.
Dividing both numerator and denominator by the GCD, we get 452061.

Step 6: Convert to Mixed Number

The fraction 452061 can be written as the mixed number 74661.

Final Answer

The result of 67/61 added to 146/2 is:

6761+1462=74661

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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