10/184 added to 1/4 in Fraction Form

The result of 10/184 added to 1/4 is: 7/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10184 and 14.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 184 and 4 is 184.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10184 to 10184
Convert 14 to 46184

Step 4: Add the Numerators

Add the numerators: 10 + 46 = 56

Step 5: Simplify the Fraction

We can simplify 56184 to its lowest form.
The greatest common divisor (GCD) of 56 and 184 is 8.
Dividing both numerator and denominator by the GCD, we get 723.

Final Answer

The result of 10/184 added to 1/4 is:

10184+14=723

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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