85/70 added to 13/4 in Fraction Form

The result of 85/70 added to 13/4 is: 4 13/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8570 and 134.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 70 and 4 is 140.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8570 to 170140
Convert 134 to 455140

Step 4: Add the Numerators

Add the numerators: 170 + 455 = 625

Step 5: Simplify the Fraction

We can simplify 625140 to its lowest form.
The greatest common divisor (GCD) of 625 and 140 is 5.
Dividing both numerator and denominator by the GCD, we get 12528.

Step 6: Convert to Mixed Number

The fraction 12528 can be written as the mixed number 41328.

Final Answer

The result of 85/70 added to 13/4 is:

8570+134=41328

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

Calculate operations between any two fractions: