24/71 added to 122/4 in Fraction Form

The result of 24/71 added to 122/4 is: 30 119/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2471 and 1224.

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 2471 to 96284
Convert 1224 to 8662284

Step 4: Add the Numerators

Add the numerators: 96 + 8662 = 8758

Step 5: Simplify the Fraction

We can simplify 8758284 to its lowest form.
The greatest common divisor (GCD) of 8758 and 284 is 2.
Dividing both numerator and denominator by the GCD, we get 4379142.

Step 6: Convert to Mixed Number

The fraction 4379142 can be written as the mixed number 30119142.

Final Answer

The result of 24/71 added to 122/4 is:

2471+1224=30119142

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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