1/204 added to 70/3 in Fraction Form

The result of 1/204 added to 70/3 is: 23 23/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1204 and 703.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 204 and 3 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1204 to 1204
Convert 703 to 4760204

Step 4: Add the Numerators

Add the numerators: 1 + 4760 = 4761

Step 5: Simplify the Fraction

We can simplify 4761204 to its lowest form.
The greatest common divisor (GCD) of 4761 and 204 is 3.
Dividing both numerator and denominator by the GCD, we get 158768.

Step 6: Convert to Mixed Number

The fraction 158768 can be written as the mixed number 232368.

Final Answer

The result of 1/204 added to 70/3 is:

1204+703=232368

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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