213/45 added to 61/4 in Fraction Form

The result of 213/45 added to 61/4 is: 19 59/60

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21345 and 614.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 45 and 4 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21345 to 852180
Convert 614 to 2745180

Step 4: Add the Numerators

Add the numerators: 852 + 2745 = 3597

Step 5: Simplify the Fraction

We can simplify 3597180 to its lowest form.
The greatest common divisor (GCD) of 3597 and 180 is 3.
Dividing both numerator and denominator by the GCD, we get 119960.

Step 6: Convert to Mixed Number

The fraction 119960 can be written as the mixed number 195960.

Final Answer

The result of 213/45 added to 61/4 is:

21345+614=195960

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: