205/27 added to 21/4 in Fraction Form

The result of 205/27 added to 21/4 is: 12 91/108

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20527 and 214.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 4 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20527 to 820108
Convert 214 to 567108

Step 4: Add the Numerators

Add the numerators: 820 + 567 = 1387

Step 5: Convert to Mixed Number

The fraction 1387108 can be written as the mixed number 1291108.

Final Answer

The result of 205/27 added to 21/4 is:

20527+214=1291108

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

Calculate operations between any two fractions: