177/15 added to 128/4 in Fraction Form

The result of 177/15 added to 128/4 is: 43 4/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 17715 and 1284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 15 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 17715 to 70860
Convert 1284 to 192060

Step 4: Add the Numerators

Add the numerators: 708 + 1920 = 2628

Step 5: Simplify the Fraction

We can simplify 262860 to its lowest form.
The greatest common divisor (GCD) of 2628 and 60 is 12.
Dividing both numerator and denominator by the GCD, we get 2195.

Step 6: Convert to Mixed Number

The fraction 2195 can be written as the mixed number 4345.

Final Answer

The result of 177/15 added to 128/4 is:

17715+1284=4345

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: