13/157 added to 99/3 in Fraction Form

The result of 13/157 added to 99/3 is: 33 13/157

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13157 and 993.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 157 and 3 is 471.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13157 to 39471
Convert 993 to 15543471

Step 4: Add the Numerators

Add the numerators: 39 + 15543 = 15582

Step 5: Simplify the Fraction

We can simplify 15582471 to its lowest form.
The greatest common divisor (GCD) of 15582 and 471 is 3.
Dividing both numerator and denominator by the GCD, we get 5194157.

Step 6: Convert to Mixed Number

The fraction 5194157 can be written as the mixed number 3313157.

Final Answer

The result of 13/157 added to 99/3 is:

13157+993=3313157

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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