15/210 added to 26/6 in Fraction Form

The result of 15/210 added to 26/6 is: 4 17/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15210 and 266.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 6 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15210 to 15210
Convert 266 to 910210

Step 4: Add the Numerators

Add the numerators: 15 + 910 = 925

Step 5: Simplify the Fraction

We can simplify 925210 to its lowest form.
The greatest common divisor (GCD) of 925 and 210 is 5.
Dividing both numerator and denominator by the GCD, we get 18542.

Step 6: Convert to Mixed Number

The fraction 18542 can be written as the mixed number 41742.

Final Answer

The result of 15/210 added to 26/6 is:

15210+266=41742

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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