12/154 added to 14/2 in Fraction Form

The result of 12/154 added to 14/2 is: 7 6/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12154 and 142.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 2 is 154.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12154 to 12154
Convert 142 to 1078154

Step 4: Add the Numerators

Add the numerators: 12 + 1078 = 1090

Step 5: Simplify the Fraction

We can simplify 1090154 to its lowest form.
The greatest common divisor (GCD) of 1090 and 154 is 2.
Dividing both numerator and denominator by the GCD, we get 54577.

Step 6: Convert to Mixed Number

The fraction 54577 can be written as the mixed number 7677.

Final Answer

The result of 12/154 added to 14/2 is:

12154+142=7677

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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