42/127 added to 120/6 in Fraction Form

The result of 42/127 added to 120/6 is: 20 42/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42127 and 1206.

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 1206 to 15240762

Step 4: Add the Numerators

Add the numerators: 252 + 15240 = 15492

Step 5: Simplify the Fraction

We can simplify 15492762 to its lowest form.
The greatest common divisor (GCD) of 15492 and 762 is 6.
Dividing both numerator and denominator by the GCD, we get 2582127.

Step 6: Convert to Mixed Number

The fraction 2582127 can be written as the mixed number 2042127.

Final Answer

The result of 42/127 added to 120/6 is:

42127+1206=2042127

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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