16/69 added to 26/4 in Fraction Form

The result of 16/69 added to 26/4 is: 6 101/138

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1669 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 4 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1669 to 64276
Convert 264 to 1794276

Step 4: Add the Numerators

Add the numerators: 64 + 1794 = 1858

Step 5: Simplify the Fraction

We can simplify 1858276 to its lowest form.
The greatest common divisor (GCD) of 1858 and 276 is 2.
Dividing both numerator and denominator by the GCD, we get 929138.

Step 6: Convert to Mixed Number

The fraction 929138 can be written as the mixed number 6101138.

Final Answer

The result of 16/69 added to 26/4 is:

1669+264=6101138

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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