6/32 added to 26/6 in Fraction Form

The result of 6/32 added to 26/6 is: 4 25/48

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 632 and 266.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 6 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert 632 to 1896
Convert 266 to 41696

Step 4: Add the Numerators

Add the numerators: 18 + 416 = 434

Step 5: Simplify the Fraction

We can simplify 43496 to its lowest form.
The greatest common divisor (GCD) of 434 and 96 is 2.
Dividing both numerator and denominator by the GCD, we get 21748.

Step 6: Convert to Mixed Number

The fraction 21748 can be written as the mixed number 42548.

Final Answer

The result of 6/32 added to 26/6 is:

632+266=42548

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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