10/92 added to 182/3 in Fraction Form

The result of 10/92 added to 182/3 is: 60 107/138

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1092 and 1823.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 92 and 3 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1092 to 30276
Convert 1823 to 16744276

Step 4: Add the Numerators

Add the numerators: 30 + 16744 = 16774

Step 5: Simplify the Fraction

We can simplify 16774276 to its lowest form.
The greatest common divisor (GCD) of 16774 and 276 is 2.
Dividing both numerator and denominator by the GCD, we get 8387138.

Step 6: Convert to Mixed Number

The fraction 8387138 can be written as the mixed number 60107138.

Final Answer

The result of 10/92 added to 182/3 is:

1092+1823=60107138

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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