213/78 added to 12/4 in Fraction Form

The result of 213/78 added to 12/4 is: 5 19/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21378 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 78 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21378 to 426156
Convert 124 to 468156

Step 4: Add the Numerators

Add the numerators: 426 + 468 = 894

Step 5: Simplify the Fraction

We can simplify 894156 to its lowest form.
The greatest common divisor (GCD) of 894 and 156 is 6.
Dividing both numerator and denominator by the GCD, we get 14926.

Step 6: Convert to Mixed Number

The fraction 14926 can be written as the mixed number 51926.

Final Answer

The result of 213/78 added to 12/4 is:

21378+124=51926

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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