103/170 added to 2/4 in Fraction Form

The result of 103/170 added to 2/4 is: 1 9/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 103170 and 24.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 103170 to 206340
Convert 24 to 170340

Step 4: Add the Numerators

Add the numerators: 206 + 170 = 376

Step 5: Simplify the Fraction

We can simplify 376340 to its lowest form.
The greatest common divisor (GCD) of 376 and 340 is 4.
Dividing both numerator and denominator by the GCD, we get 9485.

Step 6: Convert to Mixed Number

The fraction 9485 can be written as the mixed number 1985.

Final Answer

The result of 103/170 added to 2/4 is:

103170+24=1985

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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