33/17 added to 100/4 in Fraction Form

The result of 33/17 added to 100/4 is: 26 16/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3317 and 1004.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 4 is 68.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3317 to 13268
Convert 1004 to 170068

Step 4: Add the Numerators

Add the numerators: 132 + 1700 = 1832

Step 5: Simplify the Fraction

We can simplify 183268 to its lowest form.
The greatest common divisor (GCD) of 1832 and 68 is 4.
Dividing both numerator and denominator by the GCD, we get 45817.

Step 6: Convert to Mixed Number

The fraction 45817 can be written as the mixed number 261617.

Final Answer

The result of 33/17 added to 100/4 is:

3317+1004=261617

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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