64/118 added to 100/3 in Fraction Form

The result of 64/118 added to 100/3 is: 33 155/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 64118 and 1003.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 3 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 64118 to 192354
Convert 1003 to 11800354

Step 4: Add the Numerators

Add the numerators: 192 + 11800 = 11992

Step 5: Simplify the Fraction

We can simplify 11992354 to its lowest form.
The greatest common divisor (GCD) of 11992 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 5996177.

Step 6: Convert to Mixed Number

The fraction 5996177 can be written as the mixed number 33155177.

Final Answer

The result of 64/118 added to 100/3 is:

64118+1003=33155177

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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