42/213 added to 45/3 in Fraction Form

The result of 42/213 added to 45/3 is: 15 14/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42213 and 453.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 42213 to 42213
Convert 453 to 3195213

Step 4: Add the Numerators

Add the numerators: 42 + 3195 = 3237

Step 5: Simplify the Fraction

We can simplify 3237213 to its lowest form.
The greatest common divisor (GCD) of 3237 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 107971.

Step 6: Convert to Mixed Number

The fraction 107971 can be written as the mixed number 151471.

Final Answer

The result of 42/213 added to 45/3 is:

42213+453=151471

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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