7/14 added to 148/2 in Fraction Form

The result of 7/14 added to 148/2 is: 74 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 714 and 1482.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 14 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 714 to 714
Convert 1482 to 103614

Step 4: Add the Numerators

Add the numerators: 7 + 1036 = 1043

Step 5: Simplify the Fraction

We can simplify 104314 to its lowest form.
The greatest common divisor (GCD) of 1043 and 14 is 7.
Dividing both numerator and denominator by the GCD, we get 1492.

Step 6: Convert to Mixed Number

The fraction 1492 can be written as the mixed number 7412.

Final Answer

The result of 7/14 added to 148/2 is:

714+1482=7412

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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