49/90 added to 101/2 in Fraction Form

The result of 49/90 added to 101/2 is: 51 2/45

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4990 and 1012.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 90 and 2 is 90.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4990 to 4990
Convert 1012 to 454590

Step 4: Add the Numerators

Add the numerators: 49 + 4545 = 4594

Step 5: Simplify the Fraction

We can simplify 459490 to its lowest form.
The greatest common divisor (GCD) of 4594 and 90 is 2.
Dividing both numerator and denominator by the GCD, we get 229745.

Step 6: Convert to Mixed Number

The fraction 229745 can be written as the mixed number 51245.

Final Answer

The result of 49/90 added to 101/2 is:

4990+1012=51245

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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