22/85 added to 182/4 in Fraction Form

The result of 22/85 added to 182/4 is: 45 129/170

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2285 and 1824.

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 2285 to 88340
Convert 1824 to 15470340

Step 4: Add the Numerators

Add the numerators: 88 + 15470 = 15558

Step 5: Simplify the Fraction

We can simplify 15558340 to its lowest form.
The greatest common divisor (GCD) of 15558 and 340 is 2.
Dividing both numerator and denominator by the GCD, we get 7779170.

Step 6: Convert to Mixed Number

The fraction 7779170 can be written as the mixed number 45129170.

Final Answer

The result of 22/85 added to 182/4 is:

2285+1824=45129170

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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