202/8 added to 17/3 in Fraction Form

The result of 202/8 added to 17/3 is: 30 11/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2028 and 173.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 8 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2028 to 60624
Convert 173 to 13624

Step 4: Add the Numerators

Add the numerators: 606 + 136 = 742

Step 5: Simplify the Fraction

We can simplify 74224 to its lowest form.
The greatest common divisor (GCD) of 742 and 24 is 2.
Dividing both numerator and denominator by the GCD, we get 37112.

Step 6: Convert to Mixed Number

The fraction 37112 can be written as the mixed number 301112.

Final Answer

The result of 202/8 added to 17/3 is:

2028+173=301112

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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