213/5 added to 60/2 in Fraction Form

The result of 213/5 added to 60/2 is: 72 3/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2135 and 602.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 5 and 2 is 10.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2135 to 42610
Convert 602 to 30010

Step 4: Add the Numerators

Add the numerators: 426 + 300 = 726

Step 5: Simplify the Fraction

We can simplify 72610 to its lowest form.
The greatest common divisor (GCD) of 726 and 10 is 2.
Dividing both numerator and denominator by the GCD, we get 3635.

Step 6: Convert to Mixed Number

The fraction 3635 can be written as the mixed number 7235.

Final Answer

The result of 213/5 added to 60/2 is:

2135+602=7235

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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