72/141 added to 83/4 in Fraction Form

The result of 72/141 added to 83/4 is: 21 49/188

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72141 and 834.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 141 and 4 is 564.

Step 3: Convert Fractions to Equivalent Fractions

Convert 72141 to 288564
Convert 834 to 11703564

Step 4: Add the Numerators

Add the numerators: 288 + 11703 = 11991

Step 5: Simplify the Fraction

We can simplify 11991564 to its lowest form.
The greatest common divisor (GCD) of 11991 and 564 is 3.
Dividing both numerator and denominator by the GCD, we get 3997188.

Step 6: Convert to Mixed Number

The fraction 3997188 can be written as the mixed number 2149188.

Final Answer

The result of 72/141 added to 83/4 is:

72141+834=2149188

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).

Fraction Calculator

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