42/127 added to 152/6 in Fraction Form

The result of 42/127 added to 152/6 is: 25 253/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42127 and 1526.

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 1526 to 19304762

Step 4: Add the Numerators

Add the numerators: 252 + 19304 = 19556

Step 5: Simplify the Fraction

We can simplify 19556762 to its lowest form.
The greatest common divisor (GCD) of 19556 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 9778381.

Step 6: Convert to Mixed Number

The fraction 9778381 can be written as the mixed number 25253381.

Final Answer

The result of 42/127 added to 152/6 is:

42127+1526=25253381

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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