46/80 added to 8/3 in Fraction Form

The result of 46/80 added to 8/3 is: 3 29/120

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4680 and 83.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 80 and 3 is 240.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4680 to 138240
Convert 83 to 640240

Step 4: Add the Numerators

Add the numerators: 138 + 640 = 778

Step 5: Simplify the Fraction

We can simplify 778240 to its lowest form.
The greatest common divisor (GCD) of 778 and 240 is 2.
Dividing both numerator and denominator by the GCD, we get 389120.

Step 6: Convert to Mixed Number

The fraction 389120 can be written as the mixed number 329120.

Final Answer

The result of 46/80 added to 8/3 is:

4680+83=329120

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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