45/7 added to 222/3 in Fraction Form

The result of 45/7 added to 222/3 is: 80 3/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 457 and 2223.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 457 to 13521
Convert 2223 to 155421

Step 4: Add the Numerators

Add the numerators: 135 + 1554 = 1689

Step 5: Simplify the Fraction

We can simplify 168921 to its lowest form.
The greatest common divisor (GCD) of 1689 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 5637.

Step 6: Convert to Mixed Number

The fraction 5637 can be written as the mixed number 8037.

Final Answer

The result of 45/7 added to 222/3 is:

457+2223=8037

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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