13/78 added to 164/4 in Fraction Form

The result of 13/78 added to 164/4 is: 41 1/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1378 and 1644.

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 1378 to 26156
Convert 1644 to 6396156

Step 4: Add the Numerators

Add the numerators: 26 + 6396 = 6422

Step 5: Simplify the Fraction

We can simplify 6422156 to its lowest form.
The greatest common divisor (GCD) of 6422 and 156 is 26.
Dividing both numerator and denominator by the GCD, we get 2476.

Step 6: Convert to Mixed Number

The fraction 2476 can be written as the mixed number 4116.

Final Answer

The result of 13/78 added to 164/4 is:

1378+1644=4116

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

Calculate operations between any two fractions: