30/159 added to 7/4 in Fraction Form

The result of 30/159 added to 7/4 is: 1 199/212

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30159 and 74.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 159 and 4 is 636.

Step 3: Convert Fractions to Equivalent Fractions

Convert 30159 to 120636
Convert 74 to 1113636

Step 4: Add the Numerators

Add the numerators: 120 + 1113 = 1233

Step 5: Simplify the Fraction

We can simplify 1233636 to its lowest form.
The greatest common divisor (GCD) of 1233 and 636 is 3.
Dividing both numerator and denominator by the GCD, we get 411212.

Step 6: Convert to Mixed Number

The fraction 411212 can be written as the mixed number 1199212.

Final Answer

The result of 30/159 added to 7/4 is:

30159+74=1199212

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: