14/235 added to 10/2 in Fraction Form

The result of 14/235 added to 10/2 is: 5 14/235

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14235 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 235 and 2 is 470.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14235 to 28470
Convert 102 to 2350470

Step 4: Add the Numerators

Add the numerators: 28 + 2350 = 2378

Step 5: Simplify the Fraction

We can simplify 2378470 to its lowest form.
The greatest common divisor (GCD) of 2378 and 470 is 2.
Dividing both numerator and denominator by the GCD, we get 1189235.

Step 6: Convert to Mixed Number

The fraction 1189235 can be written as the mixed number 514235.

Final Answer

The result of 14/235 added to 10/2 is:

14235+102=514235

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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