172/118 added to 10/3 in Fraction Form

The result of 172/118 added to 10/3 is: 4 140/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 172118 and 103.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 3 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 172118 to 516354
Convert 103 to 1180354

Step 4: Add the Numerators

Add the numerators: 516 + 1180 = 1696

Step 5: Simplify the Fraction

We can simplify 1696354 to its lowest form.
The greatest common divisor (GCD) of 1696 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 848177.

Step 6: Convert to Mixed Number

The fraction 848177 can be written as the mixed number 4140177.

Final Answer

The result of 172/118 added to 10/3 is:

172118+103=4140177

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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