19/279 added to 26/4 in Fraction Form

The result of 19/279 added to 26/4 is: 6 317/558

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 19279 and 264.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 279 and 4 is 1116.

Step 3: Convert Fractions to Equivalent Fractions

Convert 19279 to 761116
Convert 264 to 72541116

Step 4: Add the Numerators

Add the numerators: 76 + 7254 = 7330

Step 5: Simplify the Fraction

We can simplify 73301116 to its lowest form.
The greatest common divisor (GCD) of 7330 and 1116 is 2.
Dividing both numerator and denominator by the GCD, we get 3665558.

Step 6: Convert to Mixed Number

The fraction 3665558 can be written as the mixed number 6317558.

Final Answer

The result of 19/279 added to 26/4 is:

19279+264=6317558

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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