78/182 added to 12/3 in Fraction Form

The result of 78/182 added to 12/3 is: 4 3/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78182 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 3 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78182 to 234546
Convert 123 to 2184546

Step 4: Add the Numerators

Add the numerators: 234 + 2184 = 2418

Step 5: Simplify the Fraction

We can simplify 2418546 to its lowest form.
The greatest common divisor (GCD) of 2418 and 546 is 78.
Dividing both numerator and denominator by the GCD, we get 317.

Step 6: Convert to Mixed Number

The fraction 317 can be written as the mixed number 437.

Final Answer

The result of 78/182 added to 12/3 is:

78182+123=437

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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