29/10 added to 40/4 in Fraction Form

The result of 29/10 added to 40/4 is: 12 9/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2910 and 404.

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 2910 to 5820
Convert 404 to 20020

Step 4: Add the Numerators

Add the numerators: 58 + 200 = 258

Step 5: Simplify the Fraction

We can simplify 25820 to its lowest form.
The greatest common divisor (GCD) of 258 and 20 is 2.
Dividing both numerator and denominator by the GCD, we get 12910.

Step 6: Convert to Mixed Number

The fraction 12910 can be written as the mixed number 12910.

Final Answer

The result of 29/10 added to 40/4 is:

2910+404=12910

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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