118/148 added to 30/4 in Fraction Form

The result of 118/148 added to 30/4 is: 8 11/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 118148 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 4 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 118148 to 118148
Convert 304 to 1110148

Step 4: Add the Numerators

Add the numerators: 118 + 1110 = 1228

Step 5: Simplify the Fraction

We can simplify 1228148 to its lowest form.
The greatest common divisor (GCD) of 1228 and 148 is 4.
Dividing both numerator and denominator by the GCD, we get 30737.

Step 6: Convert to Mixed Number

The fraction 30737 can be written as the mixed number 81137.

Final Answer

The result of 118/148 added to 30/4 is:

118148+304=81137

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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