24/21 added to 43/4 in Fraction Form

The result of 24/21 added to 43/4 is: 11 25/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2421 and 434.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2421 to 9684
Convert 434 to 90384

Step 4: Add the Numerators

Add the numerators: 96 + 903 = 999

Step 5: Simplify the Fraction

We can simplify 99984 to its lowest form.
The greatest common divisor (GCD) of 999 and 84 is 3.
Dividing both numerator and denominator by the GCD, we get 33328.

Step 6: Convert to Mixed Number

The fraction 33328 can be written as the mixed number 112528.

Final Answer

The result of 24/21 added to 43/4 is:

2421+434=112528

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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