67/149 added to 101/4 in Fraction Form

The result of 67/149 added to 101/4 is: 25 417/596

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67149 and 1014.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 4 is 596.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67149 to 268596
Convert 1014 to 15049596

Step 4: Add the Numerators

Add the numerators: 268 + 15049 = 15317

Step 5: Convert to Mixed Number

The fraction 15317596 can be written as the mixed number 25417596.

Final Answer

The result of 67/149 added to 101/4 is:

67149+1014=25417596

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: