81/53 added to 140/4 in Fraction Form

The result of 81/53 added to 140/4 is: 36 28/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8153 and 1404.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8153 to 324212
Convert 1404 to 7420212

Step 4: Add the Numerators

Add the numerators: 324 + 7420 = 7744

Step 5: Simplify the Fraction

We can simplify 7744212 to its lowest form.
The greatest common divisor (GCD) of 7744 and 212 is 4.
Dividing both numerator and denominator by the GCD, we get 193653.

Step 6: Convert to Mixed Number

The fraction 193653 can be written as the mixed number 362853.

Final Answer

The result of 81/53 added to 140/4 is:

8153+1404=362853

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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