26/14 added to 72/3 in Fraction Form

The result of 26/14 added to 72/3 is: 25 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2614 and 723.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 14 and 3 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2614 to 7842
Convert 723 to 100842

Step 4: Add the Numerators

Add the numerators: 78 + 1008 = 1086

Step 5: Simplify the Fraction

We can simplify 108642 to its lowest form.
The greatest common divisor (GCD) of 1086 and 42 is 6.
Dividing both numerator and denominator by the GCD, we get 1817.

Step 6: Convert to Mixed Number

The fraction 1817 can be written as the mixed number 2567.

Final Answer

The result of 26/14 added to 72/3 is:

2614+723=2567

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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