45/213 added to 31/4 in Fraction Form

The result of 45/213 added to 31/4 is: 7 273/284

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 45213 and 314.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 45213 to 180852
Convert 314 to 6603852

Step 4: Add the Numerators

Add the numerators: 180 + 6603 = 6783

Step 5: Simplify the Fraction

We can simplify 6783852 to its lowest form.
The greatest common divisor (GCD) of 6783 and 852 is 3.
Dividing both numerator and denominator by the GCD, we get 2261284.

Step 6: Convert to Mixed Number

The fraction 2261284 can be written as the mixed number 7273284.

Final Answer

The result of 45/213 added to 31/4 is:

45213+314=7273284

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: