213/99 added to 17/4 in Fraction Form

The result of 213/99 added to 17/4 is: 6 53/132

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21399 and 174.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21399 to 852396
Convert 174 to 1683396

Step 4: Add the Numerators

Add the numerators: 852 + 1683 = 2535

Step 5: Simplify the Fraction

We can simplify 2535396 to its lowest form.
The greatest common divisor (GCD) of 2535 and 396 is 3.
Dividing both numerator and denominator by the GCD, we get 845132.

Step 6: Convert to Mixed Number

The fraction 845132 can be written as the mixed number 653132.

Final Answer

The result of 213/99 added to 17/4 is:

21399+174=653132

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).

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