10/182 added to 71/3 in Fraction Form

The result of 10/182 added to 71/3 is: 23 197/273

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10182 and 713.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 3 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10182 to 30546
Convert 713 to 12922546

Step 4: Add the Numerators

Add the numerators: 30 + 12922 = 12952

Step 5: Simplify the Fraction

We can simplify 12952546 to its lowest form.
The greatest common divisor (GCD) of 12952 and 546 is 2.
Dividing both numerator and denominator by the GCD, we get 6476273.

Step 6: Convert to Mixed Number

The fraction 6476273 can be written as the mixed number 23197273.

Final Answer

The result of 10/182 added to 71/3 is:

10182+713=23197273

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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