64/120 added to 81/4 in Fraction Form

The result of 64/120 added to 81/4 is: 20 47/60

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 64120 and 814.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 120 and 4 is 120.

Step 3: Convert Fractions to Equivalent Fractions

Convert 64120 to 64120
Convert 814 to 2430120

Step 4: Add the Numerators

Add the numerators: 64 + 2430 = 2494

Step 5: Simplify the Fraction

We can simplify 2494120 to its lowest form.
The greatest common divisor (GCD) of 2494 and 120 is 2.
Dividing both numerator and denominator by the GCD, we get 124760.

Step 6: Convert to Mixed Number

The fraction 124760 can be written as the mixed number 204760.

Final Answer

The result of 64/120 added to 81/4 is:

64120+814=204760

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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