9/53 added to 74/2 in Fraction Form

The result of 9/53 added to 74/2 is: 37 9/53

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 953 and 742.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 2 is 106.

Step 3: Convert Fractions to Equivalent Fractions

Convert 953 to 18106
Convert 742 to 3922106

Step 4: Add the Numerators

Add the numerators: 18 + 3922 = 3940

Step 5: Simplify the Fraction

We can simplify 3940106 to its lowest form.
The greatest common divisor (GCD) of 3940 and 106 is 2.
Dividing both numerator and denominator by the GCD, we get 197053.

Step 6: Convert to Mixed Number

The fraction 197053 can be written as the mixed number 37953.

Final Answer

The result of 9/53 added to 74/2 is:

953+742=37953

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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