47/29 added to 213/6 in Fraction Form

The result of 47/29 added to 213/6 is: 37 7/58

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4729 and 2136.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 29 and 6 is 174.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4729 to 282174
Convert 2136 to 6177174

Step 4: Add the Numerators

Add the numerators: 282 + 6177 = 6459

Step 5: Simplify the Fraction

We can simplify 6459174 to its lowest form.
The greatest common divisor (GCD) of 6459 and 174 is 3.
Dividing both numerator and denominator by the GCD, we get 215358.

Step 6: Convert to Mixed Number

The fraction 215358 can be written as the mixed number 37758.

Final Answer

The result of 47/29 added to 213/6 is:

4729+2136=37758

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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