67/39 added to 176/4 in Fraction Form

The result of 67/39 added to 176/4 is: 45 28/39

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6739 and 1764.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 39 and 4 is 156.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6739 to 268156
Convert 1764 to 6864156

Step 4: Add the Numerators

Add the numerators: 268 + 6864 = 7132

Step 5: Simplify the Fraction

We can simplify 7132156 to its lowest form.
The greatest common divisor (GCD) of 7132 and 156 is 4.
Dividing both numerator and denominator by the GCD, we get 178339.

Step 6: Convert to Mixed Number

The fraction 178339 can be written as the mixed number 452839.

Final Answer

The result of 67/39 added to 176/4 is:

6739+1764=452839

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).

Fraction Calculator

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