45/21 added to 213/2 in Fraction Form

The result of 45/21 added to 213/2 is: 108 9/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4521 and 2132.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4521 to 9042
Convert 2132 to 447342

Step 4: Add the Numerators

Add the numerators: 90 + 4473 = 4563

Step 5: Simplify the Fraction

We can simplify 456342 to its lowest form.
The greatest common divisor (GCD) of 4563 and 42 is 3.
Dividing both numerator and denominator by the GCD, we get 152114.

Step 6: Convert to Mixed Number

The fraction 152114 can be written as the mixed number 108914.

Final Answer

The result of 45/21 added to 213/2 is:

4521+2132=108914

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

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