221/7 added to 12/3 in Fraction Form

The result of 221/7 added to 12/3 is: 35 4/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2217 and 123.

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 2217 to 66321
Convert 123 to 8421

Step 4: Add the Numerators

Add the numerators: 663 + 84 = 747

Step 5: Simplify the Fraction

We can simplify 74721 to its lowest form.
The greatest common divisor (GCD) of 747 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 2497.

Step 6: Convert to Mixed Number

The fraction 2497 can be written as the mixed number 3547.

Final Answer

The result of 221/7 added to 12/3 is:

2217+123=3547

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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