82/92 added to 154/4 in Fraction Form

The result of 82/92 added to 154/4 is: 39 9/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8292 and 1544.

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 8292 to 8292
Convert 1544 to 354292

Step 4: Add the Numerators

Add the numerators: 82 + 3542 = 3624

Step 5: Simplify the Fraction

We can simplify 362492 to its lowest form.
The greatest common divisor (GCD) of 3624 and 92 is 4.
Dividing both numerator and denominator by the GCD, we get 90623.

Step 6: Convert to Mixed Number

The fraction 90623 can be written as the mixed number 39923.

Final Answer

The result of 82/92 added to 154/4 is:

8292+1544=39923

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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