26/24 added to 40/3 in Fraction Form

The result of 26/24 added to 40/3 is: 14 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2624 and 403.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 24 and 3 is 24.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2624 to 2624
Convert 403 to 32024

Step 4: Add the Numerators

Add the numerators: 26 + 320 = 346

Step 5: Simplify the Fraction

We can simplify 34624 to its lowest form.
The greatest common divisor (GCD) of 346 and 24 is 2.
Dividing both numerator and denominator by the GCD, we get 17312.

Step 6: Convert to Mixed Number

The fraction 17312 can be written as the mixed number 14512.

Final Answer

The result of 26/24 added to 40/3 is:

2624+403=14512

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).

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