21/69 added to 41/2 in Fraction Form

The result of 21/69 added to 41/2 is: 20 37/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2169 and 412.

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 2169 to 42138
Convert 412 to 2829138

Step 4: Add the Numerators

Add the numerators: 42 + 2829 = 2871

Step 5: Simplify the Fraction

We can simplify 2871138 to its lowest form.
The greatest common divisor (GCD) of 2871 and 138 is 3.
Dividing both numerator and denominator by the GCD, we get 95746.

Step 6: Convert to Mixed Number

The fraction 95746 can be written as the mixed number 203746.

Final Answer

The result of 21/69 added to 41/2 is:

2169+412=203746

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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