20/142 added to 157/3 in Fraction Form

The result of 20/142 added to 157/3 is: 52 101/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 20142 and 1573.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 142 and 3 is 426.

Step 3: Convert Fractions to Equivalent Fractions

Convert 20142 to 60426
Convert 1573 to 22294426

Step 4: Add the Numerators

Add the numerators: 60 + 22294 = 22354

Step 5: Simplify the Fraction

We can simplify 22354426 to its lowest form.
The greatest common divisor (GCD) of 22354 and 426 is 2.
Dividing both numerator and denominator by the GCD, we get 11177213.

Step 6: Convert to Mixed Number

The fraction 11177213 can be written as the mixed number 52101213.

Final Answer

The result of 20/142 added to 157/3 is:

20142+1573=52101213

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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