10/211 added to 78/4 in Fraction Form

The result of 10/211 added to 78/4 is: 19 231/422

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10211 and 784.

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 10211 to 40844
Convert 784 to 16458844

Step 4: Add the Numerators

Add the numerators: 40 + 16458 = 16498

Step 5: Simplify the Fraction

We can simplify 16498844 to its lowest form.
The greatest common divisor (GCD) of 16498 and 844 is 2.
Dividing both numerator and denominator by the GCD, we get 8249422.

Step 6: Convert to Mixed Number

The fraction 8249422 can be written as the mixed number 19231422.

Final Answer

The result of 10/211 added to 78/4 is:

10211+784=19231422

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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