67/162 added to 26/4 in Fraction Form

The result of 67/162 added to 26/4 is: 6 74/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67162 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 162 and 4 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67162 to 134324
Convert 264 to 2106324

Step 4: Add the Numerators

Add the numerators: 134 + 2106 = 2240

Step 5: Simplify the Fraction

We can simplify 2240324 to its lowest form.
The greatest common divisor (GCD) of 2240 and 324 is 4.
Dividing both numerator and denominator by the GCD, we get 56081.

Step 6: Convert to Mixed Number

The fraction 56081 can be written as the mixed number 67481.

Final Answer

The result of 67/162 added to 26/4 is:

67162+264=67481

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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