42/127 added to 94/6 in Fraction Form

The result of 42/127 added to 94/6 is: 15 380/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42127 and 946.

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 42127 to 252762
Convert 946 to 11938762

Step 4: Add the Numerators

Add the numerators: 252 + 11938 = 12190

Step 5: Simplify the Fraction

We can simplify 12190762 to its lowest form.
The greatest common divisor (GCD) of 12190 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 6095381.

Step 6: Convert to Mixed Number

The fraction 6095381 can be written as the mixed number 15380381.

Final Answer

The result of 42/127 added to 94/6 is:

42127+946=15380381

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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