21/38 added to 2/4 in Fraction Form

The result of 21/38 added to 2/4 is: 1 1/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2138 and 24.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 38 and 4 is 76.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2138 to 4276
Convert 24 to 3876

Step 4: Add the Numerators

Add the numerators: 42 + 38 = 80

Step 5: Simplify the Fraction

We can simplify 8076 to its lowest form.
The greatest common divisor (GCD) of 80 and 76 is 4.
Dividing both numerator and denominator by the GCD, we get 2019.

Step 6: Convert to Mixed Number

The fraction 2019 can be written as the mixed number 1119.

Final Answer

The result of 21/38 added to 2/4 is:

2138+24=1119

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

Calculate operations between any two fractions: