213/42 added to 51/4 in Fraction Form

The result of 213/42 added to 51/4 is: 17 23/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21342 and 514.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21342 to 42684
Convert 514 to 107184

Step 4: Add the Numerators

Add the numerators: 426 + 1071 = 1497

Step 5: Simplify the Fraction

We can simplify 149784 to its lowest form.
The greatest common divisor (GCD) of 1497 and 84 is 3.
Dividing both numerator and denominator by the GCD, we get 49928.

Step 6: Convert to Mixed Number

The fraction 49928 can be written as the mixed number 172328.

Final Answer

The result of 213/42 added to 51/4 is:

21342+514=172328

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).

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