28/67 added to 148/2 in Fraction Form

The result of 28/67 added to 148/2 is: 74 28/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2867 and 1482.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 2 is 134.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2867 to 56134
Convert 1482 to 9916134

Step 4: Add the Numerators

Add the numerators: 56 + 9916 = 9972

Step 5: Simplify the Fraction

We can simplify 9972134 to its lowest form.
The greatest common divisor (GCD) of 9972 and 134 is 2.
Dividing both numerator and denominator by the GCD, we get 498667.

Step 6: Convert to Mixed Number

The fraction 498667 can be written as the mixed number 742867.

Final Answer

The result of 28/67 added to 148/2 is:

2867+1482=742867

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: