107/92 added to 127/4 in Fraction Form

The result of 107/92 added to 127/4 is: 32 21/23

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10792 and 1274.

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 10792 to 10792
Convert 1274 to 292192

Step 4: Add the Numerators

Add the numerators: 107 + 2921 = 3028

Step 5: Simplify the Fraction

We can simplify 302892 to its lowest form.
The greatest common divisor (GCD) of 3028 and 92 is 4.
Dividing both numerator and denominator by the GCD, we get 75723.

Step 6: Convert to Mixed Number

The fraction 75723 can be written as the mixed number 322123.

Final Answer

The result of 107/92 added to 127/4 is:

10792+1274=322123

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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