165/48 added to 127/4 in Fraction Form

The result of 165/48 added to 127/4 is: 35 3/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 16548 and 1274.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 48 and 4 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert 16548 to 16548
Convert 1274 to 152448

Step 4: Add the Numerators

Add the numerators: 165 + 1524 = 1689

Step 5: Simplify the Fraction

We can simplify 168948 to its lowest form.
The greatest common divisor (GCD) of 1689 and 48 is 3.
Dividing both numerator and denominator by the GCD, we get 56316.

Step 6: Convert to Mixed Number

The fraction 56316 can be written as the mixed number 35316.

Final Answer

The result of 165/48 added to 127/4 is:

16548+1274=35316

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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