42/118 added to 146/3 in Fraction Form

The result of 42/118 added to 146/3 is: 49 4/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42118 and 1463.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 3 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 42118 to 126354
Convert 1463 to 17228354

Step 4: Add the Numerators

Add the numerators: 126 + 17228 = 17354

Step 5: Simplify the Fraction

We can simplify 17354354 to its lowest form.
The greatest common divisor (GCD) of 17354 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 8677177.

Step 6: Convert to Mixed Number

The fraction 8677177 can be written as the mixed number 494177.

Final Answer

The result of 42/118 added to 146/3 is:

42118+1463=494177

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

Calculate operations between any two fractions: