38/211 added to 10/4 in Fraction Form

The result of 38/211 added to 10/4 is: 2 287/422

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 38211 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 211 and 4 is 844.

Step 3: Convert Fractions to Equivalent Fractions

Convert 38211 to 152844
Convert 104 to 2110844

Step 4: Add the Numerators

Add the numerators: 152 + 2110 = 2262

Step 5: Simplify the Fraction

We can simplify 2262844 to its lowest form.
The greatest common divisor (GCD) of 2262 and 844 is 2.
Dividing both numerator and denominator by the GCD, we get 1131422.

Step 6: Convert to Mixed Number

The fraction 1131422 can be written as the mixed number 2287422.

Final Answer

The result of 38/211 added to 10/4 is:

38211+104=2287422

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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