117/100 added to 81/4 in Fraction Form

The result of 117/100 added to 81/4 is: 21 21/50

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 117100 and 814.

Step 2: Find the Least Common Multiple (LCM)

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

Step 3: Convert Fractions to Equivalent Fractions

Convert 117100 to 117100
Convert 814 to 2025100

Step 4: Add the Numerators

Add the numerators: 117 + 2025 = 2142

Step 5: Simplify the Fraction

We can simplify 2142100 to its lowest form.
The greatest common divisor (GCD) of 2142 and 100 is 2.
Dividing both numerator and denominator by the GCD, we get 107150.

Step 6: Convert to Mixed Number

The fraction 107150 can be written as the mixed number 212150.

Final Answer

The result of 117/100 added to 81/4 is:

117100+814=212150

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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