36/10 added to 30/4 in Fraction Form

The result of 36/10 added to 30/4 is: 11 1/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3610 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 4 is 20.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3610 to 7220
Convert 304 to 15020

Step 4: Add the Numerators

Add the numerators: 72 + 150 = 222

Step 5: Simplify the Fraction

We can simplify 22220 to its lowest form.
The greatest common divisor (GCD) of 222 and 20 is 2.
Dividing both numerator and denominator by the GCD, we get 11110.

Step 6: Convert to Mixed Number

The fraction 11110 can be written as the mixed number 11110.

Final Answer

The result of 36/10 added to 30/4 is:

3610+304=11110

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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