42/49 added to 185/3 in Fraction Form

The result of 42/49 added to 185/3 is: 62 11/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4249 and 1853.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 3 is 147.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4249 to 126147
Convert 1853 to 9065147

Step 4: Add the Numerators

Add the numerators: 126 + 9065 = 9191

Step 5: Simplify the Fraction

We can simplify 9191147 to its lowest form.
The greatest common divisor (GCD) of 9191 and 147 is 7.
Dividing both numerator and denominator by the GCD, we get 131321.

Step 6: Convert to Mixed Number

The fraction 131321 can be written as the mixed number 621121.

Final Answer

The result of 42/49 added to 185/3 is:

4249+1853=621121

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).

Fraction Calculator

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