1/74 added to 213/3 in Fraction Form

The result of 1/74 added to 213/3 is: 71 1/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 174 and 2133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 174 to 3222
Convert 2133 to 15762222

Step 4: Add the Numerators

Add the numerators: 3 + 15762 = 15765

Step 5: Simplify the Fraction

We can simplify 15765222 to its lowest form.
The greatest common divisor (GCD) of 15765 and 222 is 3.
Dividing both numerator and denominator by the GCD, we get 525574.

Step 6: Convert to Mixed Number

The fraction 525574 can be written as the mixed number 71174.

Final Answer

The result of 1/74 added to 213/3 is:

174+2133=71174

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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