21/98 added to 185/4 in Fraction Form

The result of 21/98 added to 185/4 is: 46 13/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2198 and 1854.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 98 and 4 is 196.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2198 to 42196
Convert 1854 to 9065196

Step 4: Add the Numerators

Add the numerators: 42 + 9065 = 9107

Step 5: Simplify the Fraction

We can simplify 9107196 to its lowest form.
The greatest common divisor (GCD) of 9107 and 196 is 7.
Dividing both numerator and denominator by the GCD, we get 130128.

Step 6: Convert to Mixed Number

The fraction 130128 can be written as the mixed number 461328.

Final Answer

The result of 21/98 added to 185/4 is:

2198+1854=461328

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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