148/7 added to 72/2 in Fraction Form

The result of 148/7 added to 72/2 is: 57 1/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1487 and 722.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1487 to 29614
Convert 722 to 50414

Step 4: Add the Numerators

Add the numerators: 296 + 504 = 800

Step 5: Simplify the Fraction

We can simplify 80014 to its lowest form.
The greatest common divisor (GCD) of 800 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 4007.

Step 6: Convert to Mixed Number

The fraction 4007 can be written as the mixed number 5717.

Final Answer

The result of 148/7 added to 72/2 is:

1487+722=5717

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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