72/86 added to 154/4 in Fraction Form

The result of 72/86 added to 154/4 is: 39 29/86

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7286 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 86 and 4 is 172.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7286 to 144172
Convert 1544 to 6622172

Step 4: Add the Numerators

Add the numerators: 144 + 6622 = 6766

Step 5: Simplify the Fraction

We can simplify 6766172 to its lowest form.
The greatest common divisor (GCD) of 6766 and 172 is 2.
Dividing both numerator and denominator by the GCD, we get 338386.

Step 6: Convert to Mixed Number

The fraction 338386 can be written as the mixed number 392986.

Final Answer

The result of 72/86 added to 154/4 is:

7286+1544=392986

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: