47/78 added to 185/3 in Fraction Form

The result of 47/78 added to 185/3 is: 62 7/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4778 and 1853.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 78 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4778 to 4778
Convert 1853 to 481078

Step 4: Add the Numerators

Add the numerators: 47 + 4810 = 4857

Step 5: Simplify the Fraction

We can simplify 485778 to its lowest form.
The greatest common divisor (GCD) of 4857 and 78 is 3.
Dividing both numerator and denominator by the GCD, we get 161926.

Step 6: Convert to Mixed Number

The fraction 161926 can be written as the mixed number 62726.

Final Answer

The result of 47/78 added to 185/3 is:

4778+1853=62726

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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