21/170 added to 78/3 in Fraction Form

The result of 21/170 added to 78/3 is: 26 21/170

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21170 and 783.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 170 and 3 is 510.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21170 to 63510
Convert 783 to 13260510

Step 4: Add the Numerators

Add the numerators: 63 + 13260 = 13323

Step 5: Simplify the Fraction

We can simplify 13323510 to its lowest form.
The greatest common divisor (GCD) of 13323 and 510 is 3.
Dividing both numerator and denominator by the GCD, we get 4441170.

Step 6: Convert to Mixed Number

The fraction 4441170 can be written as the mixed number 2621170.

Final Answer

The result of 21/170 added to 78/3 is:

21170+783=2621170

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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