21/276 added to 10/2 in Fraction Form

The result of 21/276 added to 10/2 is: 5 7/92

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21276 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 276 and 2 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21276 to 21276
Convert 102 to 1380276

Step 4: Add the Numerators

Add the numerators: 21 + 1380 = 1401

Step 5: Simplify the Fraction

We can simplify 1401276 to its lowest form.
The greatest common divisor (GCD) of 1401 and 276 is 3.
Dividing both numerator and denominator by the GCD, we get 46792.

Step 6: Convert to Mixed Number

The fraction 46792 can be written as the mixed number 5792.

Final Answer

The result of 21/276 added to 10/2 is:

21276+102=5792

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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