21/238 added to 21/4 in Fraction Form

The result of 21/238 added to 21/4 is: 5 23/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21238 and 214.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 238 and 4 is 476.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21238 to 42476
Convert 214 to 2499476

Step 4: Add the Numerators

Add the numerators: 42 + 2499 = 2541

Step 5: Simplify the Fraction

We can simplify 2541476 to its lowest form.
The greatest common divisor (GCD) of 2541 and 476 is 7.
Dividing both numerator and denominator by the GCD, we get 36368.

Step 6: Convert to Mixed Number

The fraction 36368 can be written as the mixed number 52368.

Final Answer

The result of 21/238 added to 21/4 is:

21238+214=52368

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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