70/85 added to 159/4 in Fraction Form

The result of 70/85 added to 159/4 is: 40 39/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7085 and 1594.

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 7085 to 280340
Convert 1594 to 13515340

Step 4: Add the Numerators

Add the numerators: 280 + 13515 = 13795

Step 5: Simplify the Fraction

We can simplify 13795340 to its lowest form.
The greatest common divisor (GCD) of 13795 and 340 is 5.
Dividing both numerator and denominator by the GCD, we get 275968.

Step 6: Convert to Mixed Number

The fraction 275968 can be written as the mixed number 403968.

Final Answer

The result of 70/85 added to 159/4 is:

7085+1594=403968

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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