72/47 added to 112/2 in Fraction Form

The result of 72/47 added to 112/2 is: 57 25/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7247 and 1122.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 2 is 94.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7247 to 14494
Convert 1122 to 526494

Step 4: Add the Numerators

Add the numerators: 144 + 5264 = 5408

Step 5: Simplify the Fraction

We can simplify 540894 to its lowest form.
The greatest common divisor (GCD) of 5408 and 94 is 2.
Dividing both numerator and denominator by the GCD, we get 270447.

Step 6: Convert to Mixed Number

The fraction 270447 can be written as the mixed number 572547.

Final Answer

The result of 72/47 added to 112/2 is:

7247+1122=572547

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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