72/20 added to 223/3 in Fraction Form

The result of 72/20 added to 223/3 is: 77 14/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7220 and 2233.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 3 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7220 to 21660
Convert 2233 to 446060

Step 4: Add the Numerators

Add the numerators: 216 + 4460 = 4676

Step 5: Simplify the Fraction

We can simplify 467660 to its lowest form.
The greatest common divisor (GCD) of 4676 and 60 is 4.
Dividing both numerator and denominator by the GCD, we get 116915.

Step 6: Convert to Mixed Number

The fraction 116915 can be written as the mixed number 771415.

Final Answer

The result of 72/20 added to 223/3 is:

7220+2233=771415

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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