123/127 added to 21/6 in Fraction Form

The result of 123/127 added to 21/6 is: 4 119/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 123127 and 216.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 123127 to 738762
Convert 216 to 2667762

Step 4: Add the Numerators

Add the numerators: 738 + 2667 = 3405

Step 5: Simplify the Fraction

We can simplify 3405762 to its lowest form.
The greatest common divisor (GCD) of 3405 and 762 is 3.
Dividing both numerator and denominator by the GCD, we get 1135254.

Step 6: Convert to Mixed Number

The fraction 1135254 can be written as the mixed number 4119254.

Final Answer

The result of 123/127 added to 21/6 is:

123127+216=4119254

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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