139/142 added to 6/4 in Fraction Form

The result of 139/142 added to 6/4 is: 2 34/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 139142 and 64.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 142 and 4 is 284.

Step 3: Convert Fractions to Equivalent Fractions

Convert 139142 to 278284
Convert 64 to 426284

Step 4: Add the Numerators

Add the numerators: 278 + 426 = 704

Step 5: Simplify the Fraction

We can simplify 704284 to its lowest form.
The greatest common divisor (GCD) of 704 and 284 is 4.
Dividing both numerator and denominator by the GCD, we get 17671.

Step 6: Convert to Mixed Number

The fraction 17671 can be written as the mixed number 23471.

Final Answer

The result of 139/142 added to 6/4 is:

139142+64=23471

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: