170/13 added to 24/4 in Fraction Form

The result of 170/13 added to 24/4 is: 19 1/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17013 and 244.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17013 to 68052
Convert 244 to 31252

Step 4: Add the Numerators

Add the numerators: 680 + 312 = 992

Step 5: Simplify the Fraction

We can simplify 99252 to its lowest form.
The greatest common divisor (GCD) of 992 and 52 is 4.
Dividing both numerator and denominator by the GCD, we get 24813.

Step 6: Convert to Mixed Number

The fraction 24813 can be written as the mixed number 19113.

Final Answer

The result of 170/13 added to 24/4 is:

17013+244=19113

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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