15/210 added to 85/2 in Fraction Form

The result of 15/210 added to 85/2 is: 42 4/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15210 and 852.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 2 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15210 to 15210
Convert 852 to 8925210

Step 4: Add the Numerators

Add the numerators: 15 + 8925 = 8940

Step 5: Simplify the Fraction

We can simplify 8940210 to its lowest form.
The greatest common divisor (GCD) of 8940 and 210 is 30.
Dividing both numerator and denominator by the GCD, we get 2987.

Step 6: Convert to Mixed Number

The fraction 2987 can be written as the mixed number 4247.

Final Answer

The result of 15/210 added to 85/2 is:

15210+852=4247

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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