21/268 added to 23/4 in Fraction Form

The result of 21/268 added to 23/4 is: 5 111/134

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21268 and 234.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 268 and 4 is 268.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21268 to 21268
Convert 234 to 1541268

Step 4: Add the Numerators

Add the numerators: 21 + 1541 = 1562

Step 5: Simplify the Fraction

We can simplify 1562268 to its lowest form.
The greatest common divisor (GCD) of 1562 and 268 is 2.
Dividing both numerator and denominator by the GCD, we get 781134.

Step 6: Convert to Mixed Number

The fraction 781134 can be written as the mixed number 5111134.

Final Answer

The result of 21/268 added to 23/4 is:

21268+234=5111134

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).

Fraction Calculator

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