42/185 added to 18/4 in Fraction Form

The result of 42/185 added to 18/4 is: 4 269/370

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42185 and 184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 185 and 4 is 740.

Step 3: Convert Fractions to Equivalent Fractions

Convert 42185 to 168740
Convert 184 to 3330740

Step 4: Add the Numerators

Add the numerators: 168 + 3330 = 3498

Step 5: Simplify the Fraction

We can simplify 3498740 to its lowest form.
The greatest common divisor (GCD) of 3498 and 740 is 2.
Dividing both numerator and denominator by the GCD, we get 1749370.

Step 6: Convert to Mixed Number

The fraction 1749370 can be written as the mixed number 4269370.

Final Answer

The result of 42/185 added to 18/4 is:

42185+184=4269370

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: