61/185 added to 10/6 in Fraction Form

The result of 61/185 added to 10/6 is: 1 553/555

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 61185 and 106.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 6 is 1110.

Step 3: Convert Fractions to Equivalent Fractions

Convert 61185 to 3661110
Convert 106 to 18501110

Step 4: Add the Numerators

Add the numerators: 366 + 1850 = 2216

Step 5: Simplify the Fraction

We can simplify 22161110 to its lowest form.
The greatest common divisor (GCD) of 2216 and 1110 is 2.
Dividing both numerator and denominator by the GCD, we get 1108555.

Step 6: Convert to Mixed Number

The fraction 1108555 can be written as the mixed number 1553555.

Final Answer

The result of 61/185 added to 10/6 is:

61185+106=1553555

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

Calculate operations between any two fractions: