10/260 added to 5/3 in Fraction Form

The result of 10/260 added to 5/3 is: 1 55/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10260 and 53.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 260 and 3 is 780.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10260 to 30780
Convert 53 to 1300780

Step 4: Add the Numerators

Add the numerators: 30 + 1300 = 1330

Step 5: Simplify the Fraction

We can simplify 1330780 to its lowest form.
The greatest common divisor (GCD) of 1330 and 780 is 10.
Dividing both numerator and denominator by the GCD, we get 13378.

Step 6: Convert to Mixed Number

The fraction 13378 can be written as the mixed number 15578.

Final Answer

The result of 10/260 added to 5/3 is:

10260+53=15578

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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