22/15 added to 12/4 in Fraction Form

The result of 22/15 added to 12/4 is: 4 7/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2215 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2215 to 8860
Convert 124 to 18060

Step 4: Add the Numerators

Add the numerators: 88 + 180 = 268

Step 5: Simplify the Fraction

We can simplify 26860 to its lowest form.
The greatest common divisor (GCD) of 268 and 60 is 4.
Dividing both numerator and denominator by the GCD, we get 6715.

Step 6: Convert to Mixed Number

The fraction 6715 can be written as the mixed number 4715.

Final Answer

The result of 22/15 added to 12/4 is:

2215+124=4715

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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