21/148 added to 74/3 in Fraction Form

The result of 21/148 added to 74/3 is: 24 359/444

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21148 and 743.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 3 is 444.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21148 to 63444
Convert 743 to 10952444

Step 4: Add the Numerators

Add the numerators: 63 + 10952 = 11015

Step 5: Convert to Mixed Number

The fraction 11015444 can be written as the mixed number 24359444.

Final Answer

The result of 21/148 added to 74/3 is:

21148+743=24359444

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: