118/59 added to 81/4 in Fraction Form

The result of 118/59 added to 81/4 is: 22 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11859 and 814.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 59 and 4 is 236.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11859 to 472236
Convert 814 to 4779236

Step 4: Add the Numerators

Add the numerators: 472 + 4779 = 5251

Step 5: Simplify the Fraction

We can simplify 5251236 to its lowest form.
The greatest common divisor (GCD) of 5251 and 236 is 59.
Dividing both numerator and denominator by the GCD, we get 894.

Step 6: Convert to Mixed Number

The fraction 894 can be written as the mixed number 2214.

Final Answer

The result of 118/59 added to 81/4 is:

11859+814=2214

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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