170/127 added to 42/4 in Fraction Form

The result of 170/127 added to 42/4 is: 11 213/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 170127 and 424.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 170127 to 680508
Convert 424 to 5334508

Step 4: Add the Numerators

Add the numerators: 680 + 5334 = 6014

Step 5: Simplify the Fraction

We can simplify 6014508 to its lowest form.
The greatest common divisor (GCD) of 6014 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 3007254.

Step 6: Convert to Mixed Number

The fraction 3007254 can be written as the mixed number 11213254.

Final Answer

The result of 170/127 added to 42/4 is:

170127+424=11213254

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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