69/4 added to 51/3 in Fraction Form

The result of 69/4 added to 51/3 is: 34 1/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 694 and 513.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 4 and 3 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 694 to 20712
Convert 513 to 20412

Step 4: Add the Numerators

Add the numerators: 207 + 204 = 411

Step 5: Simplify the Fraction

We can simplify 41112 to its lowest form.
The greatest common divisor (GCD) of 411 and 12 is 3.
Dividing both numerator and denominator by the GCD, we get 1374.

Step 6: Convert to Mixed Number

The fraction 1374 can be written as the mixed number 3414.

Final Answer

The result of 69/4 added to 51/3 is:

694+513=3414

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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