3/12 added to 74/2 in Fraction Form

The result of 3/12 added to 74/2 is: 37 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 312 and 742.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 12 and 2 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 312 to 312
Convert 742 to 44412

Step 4: Add the Numerators

Add the numerators: 3 + 444 = 447

Step 5: Simplify the Fraction

We can simplify 44712 to its lowest form.
The greatest common divisor (GCD) of 447 and 12 is 3.
Dividing both numerator and denominator by the GCD, we get 1494.

Step 6: Convert to Mixed Number

The fraction 1494 can be written as the mixed number 3714.

Final Answer

The result of 3/12 added to 74/2 is:

312+742=3714

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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