12/262 added to 10/4 in Fraction Form

The result of 12/262 added to 10/4 is: 2 143/262

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12262 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 262 and 4 is 524.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12262 to 24524
Convert 104 to 1310524

Step 4: Add the Numerators

Add the numerators: 24 + 1310 = 1334

Step 5: Simplify the Fraction

We can simplify 1334524 to its lowest form.
The greatest common divisor (GCD) of 1334 and 524 is 2.
Dividing both numerator and denominator by the GCD, we get 667262.

Step 6: Convert to Mixed Number

The fraction 667262 can be written as the mixed number 2143262.

Final Answer

The result of 12/262 added to 10/4 is:

12262+104=2143262

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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