12/7 added to 220/2 in Fraction Form

The result of 12/7 added to 220/2 is: 111 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127 and 2202.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127 to 2414
Convert 2202 to 154014

Step 4: Add the Numerators

Add the numerators: 24 + 1540 = 1564

Step 5: Simplify the Fraction

We can simplify 156414 to its lowest form.
The greatest common divisor (GCD) of 1564 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 7827.

Step 6: Convert to Mixed Number

The fraction 7827 can be written as the mixed number 11157.

Final Answer

The result of 12/7 added to 220/2 is:

127+2202=11157

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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