21/119 added to 170/3 in Fraction Form

The result of 21/119 added to 170/3 is: 56 43/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21119 and 1703.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 119 and 3 is 357.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21119 to 63357
Convert 1703 to 20230357

Step 4: Add the Numerators

Add the numerators: 63 + 20230 = 20293

Step 5: Simplify the Fraction

We can simplify 20293357 to its lowest form.
The greatest common divisor (GCD) of 20293 and 357 is 7.
Dividing both numerator and denominator by the GCD, we get 289951.

Step 6: Convert to Mixed Number

The fraction 289951 can be written as the mixed number 564351.

Final Answer

The result of 21/119 added to 170/3 is:

21119+1703=564351

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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