7/21 added to 114/2 in Fraction Form

The result of 7/21 added to 114/2 is: 57 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 721 and 1142.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 721 to 1442
Convert 1142 to 239442

Step 4: Add the Numerators

Add the numerators: 14 + 2394 = 2408

Step 5: Simplify the Fraction

We can simplify 240842 to its lowest form.
The greatest common divisor (GCD) of 2408 and 42 is 14.
Dividing both numerator and denominator by the GCD, we get 1723.

Step 6: Convert to Mixed Number

The fraction 1723 can be written as the mixed number 5713.

Final Answer

The result of 7/21 added to 114/2 is:

721+1142=5713

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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