35/213 added to 26/4 in Fraction Form

The result of 35/213 added to 26/4 is: 6 283/426

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 35213 and 264.

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 35213 to 140852
Convert 264 to 5538852

Step 4: Add the Numerators

Add the numerators: 140 + 5538 = 5678

Step 5: Simplify the Fraction

We can simplify 5678852 to its lowest form.
The greatest common divisor (GCD) of 5678 and 852 is 2.
Dividing both numerator and denominator by the GCD, we get 2839426.

Step 6: Convert to Mixed Number

The fraction 2839426 can be written as the mixed number 6283426.

Final Answer

The result of 35/213 added to 26/4 is:

35213+264=6283426

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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