17/112 added to 141/3 in Fraction Form

The result of 17/112 added to 141/3 is: 47 17/112

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17112 and 1413.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 112 and 3 is 336.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17112 to 51336
Convert 1413 to 15792336

Step 4: Add the Numerators

Add the numerators: 51 + 15792 = 15843

Step 5: Simplify the Fraction

We can simplify 15843336 to its lowest form.
The greatest common divisor (GCD) of 15843 and 336 is 3.
Dividing both numerator and denominator by the GCD, we get 5281112.

Step 6: Convert to Mixed Number

The fraction 5281112 can be written as the mixed number 4717112.

Final Answer

The result of 17/112 added to 141/3 is:

17112+1413=4717112

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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