19/53 added to 232/4 in Fraction Form

The result of 19/53 added to 232/4 is: 58 19/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1953 and 2324.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1953 to 76212
Convert 2324 to 12296212

Step 4: Add the Numerators

Add the numerators: 76 + 12296 = 12372

Step 5: Simplify the Fraction

We can simplify 12372212 to its lowest form.
The greatest common divisor (GCD) of 12372 and 212 is 4.
Dividing both numerator and denominator by the GCD, we get 309353.

Step 6: Convert to Mixed Number

The fraction 309353 can be written as the mixed number 581953.

Final Answer

The result of 19/53 added to 232/4 is:

1953+2324=581953

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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