51/21 added to 10/4 in Fraction Form

The result of 51/21 added to 10/4 is: 4 13/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5121 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5121 to 20484
Convert 104 to 21084

Step 4: Add the Numerators

Add the numerators: 204 + 210 = 414

Step 5: Simplify the Fraction

We can simplify 41484 to its lowest form.
The greatest common divisor (GCD) of 414 and 84 is 6.
Dividing both numerator and denominator by the GCD, we get 6914.

Step 6: Convert to Mixed Number

The fraction 6914 can be written as the mixed number 41314.

Final Answer

The result of 51/21 added to 10/4 is:

5121+104=41314

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).

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