46/135 added to 82/4 in Fraction Form

The result of 46/135 added to 82/4 is: 20 227/270

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 46135 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 4 is 540.

Step 3: Convert Fractions to Equivalent Fractions

Convert 46135 to 184540
Convert 824 to 11070540

Step 4: Add the Numerators

Add the numerators: 184 + 11070 = 11254

Step 5: Simplify the Fraction

We can simplify 11254540 to its lowest form.
The greatest common divisor (GCD) of 11254 and 540 is 2.
Dividing both numerator and denominator by the GCD, we get 5627270.

Step 6: Convert to Mixed Number

The fraction 5627270 can be written as the mixed number 20227270.

Final Answer

The result of 46/135 added to 82/4 is:

46135+824=20227270

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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