159/53 added to 6/4 in Fraction Form

The result of 159/53 added to 6/4 is: 4 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15953 and 64.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15953 to 636212
Convert 64 to 318212

Step 4: Add the Numerators

Add the numerators: 636 + 318 = 954

Step 5: Simplify the Fraction

We can simplify 954212 to its lowest form.
The greatest common divisor (GCD) of 954 and 212 is 106.
Dividing both numerator and denominator by the GCD, we get 92.

Step 6: Convert to Mixed Number

The fraction 92 can be written as the mixed number 412.

Final Answer

The result of 159/53 added to 6/4 is:

15953+64=412

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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