7/47 added to 122/4 in Fraction Form

The result of 7/47 added to 122/4 is: 30 61/94

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 747 and 1224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 4 is 188.

Step 3: Convert Fractions to Equivalent Fractions

Convert 747 to 28188
Convert 1224 to 5734188

Step 4: Add the Numerators

Add the numerators: 28 + 5734 = 5762

Step 5: Simplify the Fraction

We can simplify 5762188 to its lowest form.
The greatest common divisor (GCD) of 5762 and 188 is 2.
Dividing both numerator and denominator by the GCD, we get 288194.

Step 6: Convert to Mixed Number

The fraction 288194 can be written as the mixed number 306194.

Final Answer

The result of 7/47 added to 122/4 is:

747+1224=306194

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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