84/182 added to 1/4 in Fraction Form

The result of 84/182 added to 1/4 is: 37/52

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 84182 and 14.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 4 is 364.

Step 3: Convert Fractions to Equivalent Fractions

Convert 84182 to 168364
Convert 14 to 91364

Step 4: Add the Numerators

Add the numerators: 168 + 91 = 259

Step 5: Simplify the Fraction

We can simplify 259364 to its lowest form.
The greatest common divisor (GCD) of 259 and 364 is 7.
Dividing both numerator and denominator by the GCD, we get 3752.

Final Answer

The result of 84/182 added to 1/4 is:

84182+14=3752

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).

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