23/71 added to 24/4 in Fraction Form

The result of 23/71 added to 24/4 is: 6 23/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2371 and 244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 71 and 4 is 284.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2371 to 92284
Convert 244 to 1704284

Step 4: Add the Numerators

Add the numerators: 92 + 1704 = 1796

Step 5: Simplify the Fraction

We can simplify 1796284 to its lowest form.
The greatest common divisor (GCD) of 1796 and 284 is 4.
Dividing both numerator and denominator by the GCD, we get 44971.

Step 6: Convert to Mixed Number

The fraction 44971 can be written as the mixed number 62371.

Final Answer

The result of 23/71 added to 24/4 is:

2371+244=62371

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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