21/271 added to 10/4 in Fraction Form

The result of 21/271 added to 10/4 is: 2 313/542

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21271 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 271 and 4 is 1084.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21271 to 841084
Convert 104 to 27101084

Step 4: Add the Numerators

Add the numerators: 84 + 2710 = 2794

Step 5: Simplify the Fraction

We can simplify 27941084 to its lowest form.
The greatest common divisor (GCD) of 2794 and 1084 is 2.
Dividing both numerator and denominator by the GCD, we get 1397542.

Step 6: Convert to Mixed Number

The fraction 1397542 can be written as the mixed number 2313542.

Final Answer

The result of 21/271 added to 10/4 is:

21271+104=2313542

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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