13/67 added to 152/4 in Fraction Form

The result of 13/67 added to 152/4 is: 38 13/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1367 and 1524.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 4 is 268.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1367 to 52268
Convert 1524 to 10184268

Step 4: Add the Numerators

Add the numerators: 52 + 10184 = 10236

Step 5: Simplify the Fraction

We can simplify 10236268 to its lowest form.
The greatest common divisor (GCD) of 10236 and 268 is 4.
Dividing both numerator and denominator by the GCD, we get 255967.

Step 6: Convert to Mixed Number

The fraction 255967 can be written as the mixed number 381367.

Final Answer

The result of 13/67 added to 152/4 is:

1367+1524=381367

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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