10/80 added to 182/4 in Fraction Form

The result of 10/80 added to 182/4 is: 45 5/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1080 and 1824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 80 and 4 is 80.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1080 to 1080
Convert 1824 to 364080

Step 4: Add the Numerators

Add the numerators: 10 + 3640 = 3650

Step 5: Simplify the Fraction

We can simplify 365080 to its lowest form.
The greatest common divisor (GCD) of 3650 and 80 is 10.
Dividing both numerator and denominator by the GCD, we get 3658.

Step 6: Convert to Mixed Number

The fraction 3658 can be written as the mixed number 4558.

Final Answer

The result of 10/80 added to 182/4 is:

1080+1824=4558

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: