10/38 added to 191/3 in Fraction Form

The result of 10/38 added to 191/3 is: 63 53/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1038 and 1913.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 38 and 3 is 114.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1038 to 30114
Convert 1913 to 7258114

Step 4: Add the Numerators

Add the numerators: 30 + 7258 = 7288

Step 5: Simplify the Fraction

We can simplify 7288114 to its lowest form.
The greatest common divisor (GCD) of 7288 and 114 is 2.
Dividing both numerator and denominator by the GCD, we get 364457.

Step 6: Convert to Mixed Number

The fraction 364457 can be written as the mixed number 635357.

Final Answer

The result of 10/38 added to 191/3 is:

1038+1913=635357

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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