47/7 added to 76/2 in Fraction Form

The result of 47/7 added to 76/2 is: 44 5/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 477 and 762.

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 477 to 9414
Convert 762 to 53214

Step 4: Add the Numerators

Add the numerators: 94 + 532 = 626

Step 5: Simplify the Fraction

We can simplify 62614 to its lowest form.
The greatest common divisor (GCD) of 626 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get 3137.

Step 6: Convert to Mixed Number

The fraction 3137 can be written as the mixed number 4457.

Final Answer

The result of 47/7 added to 76/2 is:

477+762=4457

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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