21/28 added to 235/3 in Fraction Form

The result of 21/28 added to 235/3 is: 79 1/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2128 and 2353.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 28 and 3 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2128 to 6384
Convert 2353 to 658084

Step 4: Add the Numerators

Add the numerators: 63 + 6580 = 6643

Step 5: Simplify the Fraction

We can simplify 664384 to its lowest form.
The greatest common divisor (GCD) of 6643 and 84 is 7.
Dividing both numerator and denominator by the GCD, we get 94912.

Step 6: Convert to Mixed Number

The fraction 94912 can be written as the mixed number 79112.

Final Answer

The result of 21/28 added to 235/3 is:

2128+2353=79112

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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