38/21 added to 48/4 in Fraction Form

The result of 38/21 added to 48/4 is: 13 17/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3821 and 484.

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 3821 to 15284
Convert 484 to 100884

Step 4: Add the Numerators

Add the numerators: 152 + 1008 = 1160

Step 5: Simplify the Fraction

We can simplify 116084 to its lowest form.
The greatest common divisor (GCD) of 1160 and 84 is 4.
Dividing both numerator and denominator by the GCD, we get 29021.

Step 6: Convert to Mixed Number

The fraction 29021 can be written as the mixed number 131721.

Final Answer

The result of 38/21 added to 48/4 is:

3821+484=131721

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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