57/67 added to 6/2 in Fraction Form

The result of 57/67 added to 6/2 is: 3 57/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5767 and 62.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 2 is 134.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5767 to 114134
Convert 62 to 402134

Step 4: Add the Numerators

Add the numerators: 114 + 402 = 516

Step 5: Simplify the Fraction

We can simplify 516134 to its lowest form.
The greatest common divisor (GCD) of 516 and 134 is 2.
Dividing both numerator and denominator by the GCD, we get 25867.

Step 6: Convert to Mixed Number

The fraction 25867 can be written as the mixed number 35767.

Final Answer

The result of 57/67 added to 6/2 is:

5767+62=35767

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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