15/73 added to 10/2 in Fraction Form

The result of 15/73 added to 10/2 is: 5 15/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1573 and 102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1573 to 30146
Convert 102 to 730146

Step 4: Add the Numerators

Add the numerators: 30 + 730 = 760

Step 5: Simplify the Fraction

We can simplify 760146 to its lowest form.
The greatest common divisor (GCD) of 760 and 146 is 2.
Dividing both numerator and denominator by the GCD, we get 38073.

Step 6: Convert to Mixed Number

The fraction 38073 can be written as the mixed number 51573.

Final Answer

The result of 15/73 added to 10/2 is:

1573+102=51573

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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