78/201 added to 16/4 in Fraction Form

The result of 78/201 added to 16/4 is: 4 26/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78201 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 4 is 804.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78201 to 312804
Convert 164 to 3216804

Step 4: Add the Numerators

Add the numerators: 312 + 3216 = 3528

Step 5: Simplify the Fraction

We can simplify 3528804 to its lowest form.
The greatest common divisor (GCD) of 3528 and 804 is 12.
Dividing both numerator and denominator by the GCD, we get 29467.

Step 6: Convert to Mixed Number

The fraction 29467 can be written as the mixed number 42667.

Final Answer

The result of 78/201 added to 16/4 is:

78201+164=42667

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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