4/21 added to 185/3 in Fraction Form

The result of 4/21 added to 185/3 is: 61 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 421 and 1853.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 421 to 421
Convert 1853 to 129521

Step 4: Add the Numerators

Add the numerators: 4 + 1295 = 1299

Step 5: Simplify the Fraction

We can simplify 129921 to its lowest form.
The greatest common divisor (GCD) of 1299 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 4337.

Step 6: Convert to Mixed Number

The fraction 4337 can be written as the mixed number 6167.

Final Answer

The result of 4/21 added to 185/3 is:

421+1853=6167

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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