10/94 added to 185/3 in Fraction Form

The result of 10/94 added to 185/3 is: 61 109/141

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1094 and 1853.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 94 and 3 is 282.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1094 to 30282
Convert 1853 to 17390282

Step 4: Add the Numerators

Add the numerators: 30 + 17390 = 17420

Step 5: Simplify the Fraction

We can simplify 17420282 to its lowest form.
The greatest common divisor (GCD) of 17420 and 282 is 2.
Dividing both numerator and denominator by the GCD, we get 8710141.

Step 6: Convert to Mixed Number

The fraction 8710141 can be written as the mixed number 61109141.

Final Answer

The result of 10/94 added to 185/3 is:

1094+1853=61109141

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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