26/140 added to 85/3 in Fraction Form

The result of 26/140 added to 85/3 is: 28 109/210

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 26140 and 853.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 140 and 3 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 26140 to 78420
Convert 853 to 11900420

Step 4: Add the Numerators

Add the numerators: 78 + 11900 = 11978

Step 5: Simplify the Fraction

We can simplify 11978420 to its lowest form.
The greatest common divisor (GCD) of 11978 and 420 is 2.
Dividing both numerator and denominator by the GCD, we get 5989210.

Step 6: Convert to Mixed Number

The fraction 5989210 can be written as the mixed number 28109210.

Final Answer

The result of 26/140 added to 85/3 is:

26140+853=28109210

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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