154/148 added to 21/2 in Fraction Form

The result of 154/148 added to 21/2 is: 11 20/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 154148 and 212.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 2 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 154148 to 154148
Convert 212 to 1554148

Step 4: Add the Numerators

Add the numerators: 154 + 1554 = 1708

Step 5: Simplify the Fraction

We can simplify 1708148 to its lowest form.
The greatest common divisor (GCD) of 1708 and 148 is 4.
Dividing both numerator and denominator by the GCD, we get 42737.

Step 6: Convert to Mixed Number

The fraction 42737 can be written as the mixed number 112037.

Final Answer

The result of 154/148 added to 21/2 is:

154148+212=112037

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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