10/30 added to 36/4 in Fraction Form

The result of 10/30 added to 36/4 is: 9 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1030 and 364.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 30 and 4 is 60.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1030 to 2060
Convert 364 to 54060

Step 4: Add the Numerators

Add the numerators: 20 + 540 = 560

Step 5: Simplify the Fraction

We can simplify 56060 to its lowest form.
The greatest common divisor (GCD) of 560 and 60 is 20.
Dividing both numerator and denominator by the GCD, we get 283.

Step 6: Convert to Mixed Number

The fraction 283 can be written as the mixed number 913.

Final Answer

The result of 10/30 added to 36/4 is:

1030+364=913

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: