10/18 added to 61/3 in Fraction Form

The result of 10/18 added to 61/3 is: 20 8/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1018 and 613.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 18 and 3 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1018 to 1018
Convert 613 to 36618

Step 4: Add the Numerators

Add the numerators: 10 + 366 = 376

Step 5: Simplify the Fraction

We can simplify 37618 to its lowest form.
The greatest common divisor (GCD) of 376 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get 1889.

Step 6: Convert to Mixed Number

The fraction 1889 can be written as the mixed number 2089.

Final Answer

The result of 10/18 added to 61/3 is:

1018+613=2089

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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