10/68 added to 202/3 in Fraction Form

The result of 10/68 added to 202/3 is: 67 49/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1068 and 2023.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 68 and 3 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1068 to 30204
Convert 2023 to 13736204

Step 4: Add the Numerators

Add the numerators: 30 + 13736 = 13766

Step 5: Simplify the Fraction

We can simplify 13766204 to its lowest form.
The greatest common divisor (GCD) of 13766 and 204 is 2.
Dividing both numerator and denominator by the GCD, we get 6883102.

Step 6: Convert to Mixed Number

The fraction 6883102 can be written as the mixed number 6749102.

Final Answer

The result of 10/68 added to 202/3 is:

1068+2023=6749102

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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