17/50 added to 6/4 in Fraction Form

The result of 17/50 added to 6/4 is: 1 21/25

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1750 and 64.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 50 and 4 is 100.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1750 to 34100
Convert 64 to 150100

Step 4: Add the Numerators

Add the numerators: 34 + 150 = 184

Step 5: Simplify the Fraction

We can simplify 184100 to its lowest form.
The greatest common divisor (GCD) of 184 and 100 is 4.
Dividing both numerator and denominator by the GCD, we get 4625.

Step 6: Convert to Mixed Number

The fraction 4625 can be written as the mixed number 12125.

Final Answer

The result of 17/50 added to 6/4 is:

1750+64=12125

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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