10/232 added to 15/2 in Fraction Form

The result of 10/232 added to 15/2 is: 7 63/116

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10232 and 152.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 232 and 2 is 232.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10232 to 10232
Convert 152 to 1740232

Step 4: Add the Numerators

Add the numerators: 10 + 1740 = 1750

Step 5: Simplify the Fraction

We can simplify 1750232 to its lowest form.
The greatest common divisor (GCD) of 1750 and 232 is 2.
Dividing both numerator and denominator by the GCD, we get 875116.

Step 6: Convert to Mixed Number

The fraction 875116 can be written as the mixed number 763116.

Final Answer

The result of 10/232 added to 15/2 is:

10232+152=763116

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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