30/139 added to 154/4 in Fraction Form

The result of 30/139 added to 154/4 is: 38 199/278

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 30139 and 1544.

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 30139 to 120556
Convert 1544 to 21406556

Step 4: Add the Numerators

Add the numerators: 120 + 21406 = 21526

Step 5: Simplify the Fraction

We can simplify 21526556 to its lowest form.
The greatest common divisor (GCD) of 21526 and 556 is 2.
Dividing both numerator and denominator by the GCD, we get 10763278.

Step 6: Convert to Mixed Number

The fraction 10763278 can be written as the mixed number 38199278.

Final Answer

The result of 30/139 added to 154/4 is:

30139+1544=38199278

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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