30/164 added to 78/4 in Fraction Form

The result of 30/164 added to 78/4 is: 19 28/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30164 and 784.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 164 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 30164 to 30164
Convert 784 to 3198164

Step 4: Add the Numerators

Add the numerators: 30 + 3198 = 3228

Step 5: Simplify the Fraction

We can simplify 3228164 to its lowest form.
The greatest common divisor (GCD) of 3228 and 164 is 4.
Dividing both numerator and denominator by the GCD, we get 80741.

Step 6: Convert to Mixed Number

The fraction 80741 can be written as the mixed number 192841.

Final Answer

The result of 30/164 added to 78/4 is:

30164+784=192841

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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