118/78 added to 101/3 in Fraction Form

The result of 118/78 added to 101/3 is: 35 7/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11878 and 1013.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 78 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11878 to 11878
Convert 1013 to 262678

Step 4: Add the Numerators

Add the numerators: 118 + 2626 = 2744

Step 5: Simplify the Fraction

We can simplify 274478 to its lowest form.
The greatest common divisor (GCD) of 2744 and 78 is 2.
Dividing both numerator and denominator by the GCD, we get 137239.

Step 6: Convert to Mixed Number

The fraction 137239 can be written as the mixed number 35739.

Final Answer

The result of 118/78 added to 101/3 is:

11878+1013=35739

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).

Fraction Calculator

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