21/118 added to 177/3 in Fraction Form

The result of 21/118 added to 177/3 is: 59 21/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21118 and 1773.

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 21118 to 63354
Convert 1773 to 20886354

Step 4: Add the Numerators

Add the numerators: 63 + 20886 = 20949

Step 5: Simplify the Fraction

We can simplify 20949354 to its lowest form.
The greatest common divisor (GCD) of 20949 and 354 is 3.
Dividing both numerator and denominator by the GCD, we get 6983118.

Step 6: Convert to Mixed Number

The fraction 6983118 can be written as the mixed number 5921118.

Final Answer

The result of 21/118 added to 177/3 is:

21118+1773=5921118

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: