69/67 added to 150/4 in Fraction Form

The result of 69/67 added to 150/4 is: 38 71/134

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6967 and 1504.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 4 is 268.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6967 to 276268
Convert 1504 to 10050268

Step 4: Add the Numerators

Add the numerators: 276 + 10050 = 10326

Step 5: Simplify the Fraction

We can simplify 10326268 to its lowest form.
The greatest common divisor (GCD) of 10326 and 268 is 2.
Dividing both numerator and denominator by the GCD, we get 5163134.

Step 6: Convert to Mixed Number

The fraction 5163134 can be written as the mixed number 3871134.

Final Answer

The result of 69/67 added to 150/4 is:

6967+1504=3871134

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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