10/50 added to 9/4 in Fraction Form

The result of 10/50 added to 9/4 is: 2 9/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1050 and 94.

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 1050 to 20100
Convert 94 to 225100

Step 4: Add the Numerators

Add the numerators: 20 + 225 = 245

Step 5: Simplify the Fraction

We can simplify 245100 to its lowest form.
The greatest common divisor (GCD) of 245 and 100 is 5.
Dividing both numerator and denominator by the GCD, we get 4920.

Step 6: Convert to Mixed Number

The fraction 4920 can be written as the mixed number 2920.

Final Answer

The result of 10/50 added to 9/4 is:

1050+94=2920

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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