4/232 added to 40/3 in Fraction Form

The result of 4/232 added to 40/3 is: 13 61/174

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4232 and 403.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 232 and 3 is 696.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4232 to 12696
Convert 403 to 9280696

Step 4: Add the Numerators

Add the numerators: 12 + 9280 = 9292

Step 5: Simplify the Fraction

We can simplify 9292696 to its lowest form.
The greatest common divisor (GCD) of 9292 and 696 is 4.
Dividing both numerator and denominator by the GCD, we get 2323174.

Step 6: Convert to Mixed Number

The fraction 2323174 can be written as the mixed number 1361174.

Final Answer

The result of 4/232 added to 40/3 is:

4232+403=1361174

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

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