90/185 added to 10/3 in Fraction Form

The result of 90/185 added to 10/3 is: 3 91/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 90185 and 103.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 3 is 555.

Step 3: Convert Fractions to Equivalent Fractions

Convert 90185 to 270555
Convert 103 to 1850555

Step 4: Add the Numerators

Add the numerators: 270 + 1850 = 2120

Step 5: Simplify the Fraction

We can simplify 2120555 to its lowest form.
The greatest common divisor (GCD) of 2120 and 555 is 5.
Dividing both numerator and denominator by the GCD, we get 424111.

Step 6: Convert to Mixed Number

The fraction 424111 can be written as the mixed number 391111.

Final Answer

The result of 90/185 added to 10/3 is:

90185+103=391111

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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