37/69 added to 8/2 in Fraction Form

The result of 37/69 added to 8/2 is: 4 37/69

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3769 and 82.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 2 is 138.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3769 to 74138
Convert 82 to 552138

Step 4: Add the Numerators

Add the numerators: 74 + 552 = 626

Step 5: Simplify the Fraction

We can simplify 626138 to its lowest form.
The greatest common divisor (GCD) of 626 and 138 is 2.
Dividing both numerator and denominator by the GCD, we get 31369.

Step 6: Convert to Mixed Number

The fraction 31369 can be written as the mixed number 43769.

Final Answer

The result of 37/69 added to 8/2 is:

3769+82=43769

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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