21/91 added to 24/4 in Fraction Form

The result of 21/91 added to 24/4 is: 6 3/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2191 and 244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 91 and 4 is 364.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2191 to 84364
Convert 244 to 2184364

Step 4: Add the Numerators

Add the numerators: 84 + 2184 = 2268

Step 5: Simplify the Fraction

We can simplify 2268364 to its lowest form.
The greatest common divisor (GCD) of 2268 and 364 is 28.
Dividing both numerator and denominator by the GCD, we get 8113.

Step 6: Convert to Mixed Number

The fraction 8113 can be written as the mixed number 6313.

Final Answer

The result of 21/91 added to 24/4 is:

2191+244=6313

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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