99/120 added to 26/4 in Fraction Form

The result of 99/120 added to 26/4 is: 7 13/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 99120 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 120 and 4 is 120.

Step 3: Convert Fractions to Equivalent Fractions

Convert 99120 to 99120
Convert 264 to 780120

Step 4: Add the Numerators

Add the numerators: 99 + 780 = 879

Step 5: Simplify the Fraction

We can simplify 879120 to its lowest form.
The greatest common divisor (GCD) of 879 and 120 is 3.
Dividing both numerator and denominator by the GCD, we get 29340.

Step 6: Convert to Mixed Number

The fraction 29340 can be written as the mixed number 71340.

Final Answer

The result of 99/120 added to 26/4 is:

99120+264=71340

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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