51/85 added to 69/4 in Fraction Form

The result of 51/85 added to 69/4 is: 17 17/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5185 and 694.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5185 to 204340
Convert 694 to 5865340

Step 4: Add the Numerators

Add the numerators: 204 + 5865 = 6069

Step 5: Simplify the Fraction

We can simplify 6069340 to its lowest form.
The greatest common divisor (GCD) of 6069 and 340 is 17.
Dividing both numerator and denominator by the GCD, we get 35720.

Step 6: Convert to Mixed Number

The fraction 35720 can be written as the mixed number 171720.

Final Answer

The result of 51/85 added to 69/4 is:

5185+694=171720

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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