7/48 added to 233/3 in Fraction Form

The result of 7/48 added to 233/3 is: 77 13/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 748 and 2333.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 48 and 3 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert 748 to 748
Convert 2333 to 372848

Step 4: Add the Numerators

Add the numerators: 7 + 3728 = 3735

Step 5: Simplify the Fraction

We can simplify 373548 to its lowest form.
The greatest common divisor (GCD) of 3735 and 48 is 3.
Dividing both numerator and denominator by the GCD, we get 124516.

Step 6: Convert to Mixed Number

The fraction 124516 can be written as the mixed number 771316.

Final Answer

The result of 7/48 added to 233/3 is:

748+2333=771316

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: