64/127 added to 112/6 in Fraction Form

The result of 64/127 added to 112/6 is: 19 65/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 64127 and 1126.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 64127 to 384762
Convert 1126 to 14224762

Step 4: Add the Numerators

Add the numerators: 384 + 14224 = 14608

Step 5: Simplify the Fraction

We can simplify 14608762 to its lowest form.
The greatest common divisor (GCD) of 14608 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 7304381.

Step 6: Convert to Mixed Number

The fraction 7304381 can be written as the mixed number 1965381.

Final Answer

The result of 64/127 added to 112/6 is:

64127+1126=1965381

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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