59/74 added to 159/3 in Fraction Form

The result of 59/74 added to 159/3 is: 53 59/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5974 and 1593.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5974 to 177222
Convert 1593 to 11766222

Step 4: Add the Numerators

Add the numerators: 177 + 11766 = 11943

Step 5: Simplify the Fraction

We can simplify 11943222 to its lowest form.
The greatest common divisor (GCD) of 11943 and 222 is 3.
Dividing both numerator and denominator by the GCD, we get 398174.

Step 6: Convert to Mixed Number

The fraction 398174 can be written as the mixed number 535974.

Final Answer

The result of 59/74 added to 159/3 is:

5974+1593=535974

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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