133/85 added to 12/4 in Fraction Form

The result of 133/85 added to 12/4 is: 4 48/85

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13385 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 85 and 4 is 340.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13385 to 532340
Convert 124 to 1020340

Step 4: Add the Numerators

Add the numerators: 532 + 1020 = 1552

Step 5: Simplify the Fraction

We can simplify 1552340 to its lowest form.
The greatest common divisor (GCD) of 1552 and 340 is 4.
Dividing both numerator and denominator by the GCD, we get 38885.

Step 6: Convert to Mixed Number

The fraction 38885 can be written as the mixed number 44885.

Final Answer

The result of 133/85 added to 12/4 is:

13385+124=44885

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).

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