47/42 added to 201/2 in Fraction Form

The result of 47/42 added to 201/2 is: 101 13/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4742 and 2012.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 4742 to 4742
Convert 2012 to 422142

Step 4: Add the Numerators

Add the numerators: 47 + 4221 = 4268

Step 5: Simplify the Fraction

We can simplify 426842 to its lowest form.
The greatest common divisor (GCD) of 4268 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get 213421.

Step 6: Convert to Mixed Number

The fraction 213421 can be written as the mixed number 1011321.

Final Answer

The result of 47/42 added to 201/2 is:

4742+2012=1011321

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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