251/7 added to 24/2 in Fraction Form

The result of 251/7 added to 24/2 is: 47 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2517 and 242.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2517 to 50214
Convert 242 to 16814

Step 4: Add the Numerators

Add the numerators: 502 + 168 = 670

Step 5: Simplify the Fraction

We can simplify 67014 to its lowest form.
The greatest common divisor (GCD) of 670 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 3357.

Step 6: Convert to Mixed Number

The fraction 3357 can be written as the mixed number 4767.

Final Answer

The result of 251/7 added to 24/2 is:

2517+242=4767

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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