85/213 added to 34/4 in Fraction Form

The result of 85/213 added to 34/4 is: 8 383/426

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 85213 and 344.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 85213 to 340852
Convert 344 to 7242852

Step 4: Add the Numerators

Add the numerators: 340 + 7242 = 7582

Step 5: Simplify the Fraction

We can simplify 7582852 to its lowest form.
The greatest common divisor (GCD) of 7582 and 852 is 2.
Dividing both numerator and denominator by the GCD, we get 3791426.

Step 6: Convert to Mixed Number

The fraction 3791426 can be written as the mixed number 8383426.

Final Answer

The result of 85/213 added to 34/4 is:

85213+344=8383426

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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