22/128 added to 185/4 in Fraction Form

The result of 22/128 added to 185/4 is: 46 27/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 22128 and 1854.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 128 and 4 is 128.

Step 3: Convert Fractions to Equivalent Fractions

Convert 22128 to 22128
Convert 1854 to 5920128

Step 4: Add the Numerators

Add the numerators: 22 + 5920 = 5942

Step 5: Simplify the Fraction

We can simplify 5942128 to its lowest form.
The greatest common divisor (GCD) of 5942 and 128 is 2.
Dividing both numerator and denominator by the GCD, we get 297164.

Step 6: Convert to Mixed Number

The fraction 297164 can be written as the mixed number 462764.

Final Answer

The result of 22/128 added to 185/4 is:

22128+1854=462764

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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