23/47 added to 135/3 in Fraction Form

The result of 23/47 added to 135/3 is: 45 23/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2347 and 1353.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 3 is 141.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2347 to 69141
Convert 1353 to 6345141

Step 4: Add the Numerators

Add the numerators: 69 + 6345 = 6414

Step 5: Simplify the Fraction

We can simplify 6414141 to its lowest form.
The greatest common divisor (GCD) of 6414 and 141 is 3.
Dividing both numerator and denominator by the GCD, we get 213847.

Step 6: Convert to Mixed Number

The fraction 213847 can be written as the mixed number 452347.

Final Answer

The result of 23/47 added to 135/3 is:

2347+1353=452347

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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