148/16 added to 127/3 in Fraction Form

The result of 148/16 added to 127/3 is: 51 7/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14816 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 16 and 3 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14816 to 44448
Convert 1273 to 203248

Step 4: Add the Numerators

Add the numerators: 444 + 2032 = 2476

Step 5: Simplify the Fraction

We can simplify 247648 to its lowest form.
The greatest common divisor (GCD) of 2476 and 48 is 4.
Dividing both numerator and denominator by the GCD, we get 61912.

Step 6: Convert to Mixed Number

The fraction 61912 can be written as the mixed number 51712.

Final Answer

The result of 148/16 added to 127/3 is:

14816+1273=51712

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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