100/85 added to 100/4 in Fraction Form

The result of 100/85 added to 100/4 is: 26 3/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10085 and 1004.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10085 to 400340
Convert 1004 to 8500340

Step 4: Add the Numerators

Add the numerators: 400 + 8500 = 8900

Step 5: Simplify the Fraction

We can simplify 8900340 to its lowest form.
The greatest common divisor (GCD) of 8900 and 340 is 20.
Dividing both numerator and denominator by the GCD, we get 44517.

Step 6: Convert to Mixed Number

The fraction 44517 can be written as the mixed number 26317.

Final Answer

The result of 100/85 added to 100/4 is:

10085+1004=26317

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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