20/53 added to 15/6 in Fraction Form

The result of 20/53 added to 15/6 is: 2 93/106

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2053 and 156.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 6 is 318.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2053 to 120318
Convert 156 to 795318

Step 4: Add the Numerators

Add the numerators: 120 + 795 = 915

Step 5: Simplify the Fraction

We can simplify 915318 to its lowest form.
The greatest common divisor (GCD) of 915 and 318 is 3.
Dividing both numerator and denominator by the GCD, we get 305106.

Step 6: Convert to Mixed Number

The fraction 305106 can be written as the mixed number 293106.

Final Answer

The result of 20/53 added to 15/6 is:

2053+156=293106

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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