55/92 added to 101/4 in Fraction Form

The result of 55/92 added to 101/4 is: 25 39/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5592 and 1014.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 92 and 4 is 92.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5592 to 5592
Convert 1014 to 232392

Step 4: Add the Numerators

Add the numerators: 55 + 2323 = 2378

Step 5: Simplify the Fraction

We can simplify 237892 to its lowest form.
The greatest common divisor (GCD) of 2378 and 92 is 2.
Dividing both numerator and denominator by the GCD, we get 118946.

Step 6: Convert to Mixed Number

The fraction 118946 can be written as the mixed number 253946.

Final Answer

The result of 55/92 added to 101/4 is:

5592+1014=253946

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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