70/82 added to 143/3 in Fraction Form

The result of 70/82 added to 143/3 is: 48 64/123

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7082 and 1433.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7082 to 210246
Convert 1433 to 11726246

Step 4: Add the Numerators

Add the numerators: 210 + 11726 = 11936

Step 5: Simplify the Fraction

We can simplify 11936246 to its lowest form.
The greatest common divisor (GCD) of 11936 and 246 is 2.
Dividing both numerator and denominator by the GCD, we get 5968123.

Step 6: Convert to Mixed Number

The fraction 5968123 can be written as the mixed number 4864123.

Final Answer

The result of 70/82 added to 143/3 is:

7082+1433=4864123

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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