72/149 added to 26/4 in Fraction Form

The result of 72/149 added to 26/4 is: 6 293/298

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72149 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 4 is 596.

Step 3: Convert Fractions to Equivalent Fractions

Convert 72149 to 288596
Convert 264 to 3874596

Step 4: Add the Numerators

Add the numerators: 288 + 3874 = 4162

Step 5: Simplify the Fraction

We can simplify 4162596 to its lowest form.
The greatest common divisor (GCD) of 4162 and 596 is 2.
Dividing both numerator and denominator by the GCD, we get 2081298.

Step 6: Convert to Mixed Number

The fraction 2081298 can be written as the mixed number 6293298.

Final Answer

The result of 72/149 added to 26/4 is:

72149+264=6293298

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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