5/139 added to 148/4 in Fraction Form

The result of 5/139 added to 148/4 is: 37 5/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5139 and 1484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 4 is 556.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5139 to 20556
Convert 1484 to 20572556

Step 4: Add the Numerators

Add the numerators: 20 + 20572 = 20592

Step 5: Simplify the Fraction

We can simplify 20592556 to its lowest form.
The greatest common divisor (GCD) of 20592 and 556 is 4.
Dividing both numerator and denominator by the GCD, we get 5148139.

Step 6: Convert to Mixed Number

The fraction 5148139 can be written as the mixed number 375139.

Final Answer

The result of 5/139 added to 148/4 is:

5139+1484=375139

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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