69/210 added to 34/4 in Fraction Form

The result of 69/210 added to 34/4 is: 8 29/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69210 and 344.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 4 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69210 to 138420
Convert 344 to 3570420

Step 4: Add the Numerators

Add the numerators: 138 + 3570 = 3708

Step 5: Simplify the Fraction

We can simplify 3708420 to its lowest form.
The greatest common divisor (GCD) of 3708 and 420 is 12.
Dividing both numerator and denominator by the GCD, we get 30935.

Step 6: Convert to Mixed Number

The fraction 30935 can be written as the mixed number 82935.

Final Answer

The result of 69/210 added to 34/4 is:

69210+344=82935

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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