14/160 added to 127/4 in Fraction Form

The result of 14/160 added to 127/4 is: 31 67/80

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14160 and 1274.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 160 and 4 is 160.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14160 to 14160
Convert 1274 to 5080160

Step 4: Add the Numerators

Add the numerators: 14 + 5080 = 5094

Step 5: Simplify the Fraction

We can simplify 5094160 to its lowest form.
The greatest common divisor (GCD) of 5094 and 160 is 2.
Dividing both numerator and denominator by the GCD, we get 254780.

Step 6: Convert to Mixed Number

The fraction 254780 can be written as the mixed number 316780.

Final Answer

The result of 14/160 added to 127/4 is:

14160+1274=316780

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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