148/82 added to 42/3 in Fraction Form

The result of 148/82 added to 42/3 is: 15 33/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14882 and 423.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 14882 to 444246
Convert 423 to 3444246

Step 4: Add the Numerators

Add the numerators: 444 + 3444 = 3888

Step 5: Simplify the Fraction

We can simplify 3888246 to its lowest form.
The greatest common divisor (GCD) of 3888 and 246 is 6.
Dividing both numerator and denominator by the GCD, we get 64841.

Step 6: Convert to Mixed Number

The fraction 64841 can be written as the mixed number 153341.

Final Answer

The result of 148/82 added to 42/3 is:

14882+423=153341

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).

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