34/210 added to 26/3 in Fraction Form

The result of 34/210 added to 26/3 is: 8 29/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 34210 and 263.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 3 is 210.

Step 3: Convert Fractions to Equivalent Fractions

Convert 34210 to 34210
Convert 263 to 1820210

Step 4: Add the Numerators

Add the numerators: 34 + 1820 = 1854

Step 5: Simplify the Fraction

We can simplify 1854210 to its lowest form.
The greatest common divisor (GCD) of 1854 and 210 is 6.
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 34/210 added to 26/3 is:

34210+263=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

Calculate operations between any two fractions: